How Many Jews Really Left Egypt?

The Problem


(מג) וַיְהִי֩ כָל־בְּכ֨וֹר זָכָ֜ר בְּמִסְפַּ֥ר שֵׁמ֛וֹת מִבֶּן־חֹ֥דֶשׁ וָמַ֖עְלָה לִפְקֻדֵיהֶ֑ם שְׁנַ֤יִם וְעֶשְׂרִים֙ אֶ֔לֶף שְׁלֹשָׁ֥ה וְשִׁבְעִ֖ים וּמָאתָֽיִם׃ (פ)

(43) All the first-born males as listed by name, recorded from the age of one month up, came to 22,273.

(ז) לֹ֣א מֵֽרֻבְּכֶ֞ם מִכָּל־הָֽעַמִּ֗ים חָשַׁ֧ק ה' בָּכֶ֖ם וַיִּבְחַ֣ר בָּכֶ֑ם כִּֽי־אַתֶּ֥ם הַמְעַ֖ט מִכָּל־הָעַמִּֽים׃
(7) It is not because you are the most numerous of peoples that the LORD set His heart on you and chose you—indeed, you are the smallest of peoples;
(כט) לֹ֧א אֲגָרְשֶׁ֛נּוּ מִפָּנֶ֖יךָ בְּשָׁנָ֣ה אֶחָ֑ת פֶּן־תִּהְיֶ֤ה הָאָ֙רֶץ֙ שְׁמָמָ֔ה וְרַבָּ֥ה עָלֶ֖יךָ חַיַּ֥ת הַשָּׂדֶֽה׃ (ל) מְעַ֥ט מְעַ֛ט אֲגָרְשֶׁ֖נּוּ מִפָּנֶ֑יךָ עַ֚ד אֲשֶׁ֣ר תִּפְרֶ֔ה וְנָחַלְתָּ֖ אֶת־הָאָֽרֶץ׃
(29) I will not drive them out before you in a single year, lest the land become desolate and the wild beasts multiply to your hurt. (30) I will drive them out before you little by little, until you have increased and possess the land.
וַיִּתֵּ֥ן יוֹאָ֛ב אֶת־מִסְפַּ֥ר מִפְקַד־הָעָ֖ם אֶל־הַמֶּ֑לֶךְ וַתְּהִ֣י יִשְׂרָאֵ֡ל שְׁמֹנֶה֩ מֵא֨וֹת אֶ֤לֶף אִֽישׁ־חַ֙יִל֙ שֹׁ֣לֵֽף חֶ֔רֶב וְאִ֣ישׁ יְהוּדָ֔ה חֲמֵשׁ־מֵא֥וֹת אֶ֖לֶף אִֽישׁ׃
Joab reported to the king the number of the people that had been recorded: in Israel there were 800,000 soldiers ready to draw the sword, and the men of Judah numbered 500,000.

Archeologists suggest that the population of both kingdoms of Israel could not have been much more than 1 million. At the battle of Kadesh, the largest battle in approximately the same time period, Egypt fielded an army of roughly 35,000 and were fighting a Hittite force of 27,500.

(יב) וַ֠יַּעַבְרוּ בְּנֵי־רְאוּבֵ֨ן וּבְנֵי־גָ֜ד וַחֲצִ֨י שֵׁ֤בֶט הַֽמְנַשֶּׁה֙ חֲמֻשִׁ֔ים לִפְנֵ֖י בְּנֵ֣י יִשְׂרָאֵ֑ל כַּאֲשֶׁ֛ר דִּבֶּ֥ר אֲלֵיהֶ֖ם מֹשֶֽׁה׃ (יג) כְּאַרְבָּעִ֥ים אֶ֖לֶף חֲלוּצֵ֣י הַצָּבָ֑א עָבְר֞וּ לִפְנֵ֤י ה' לַמִּלְחָמָ֔ה אֶ֖ל עַֽרְב֥וֹת יְרִיחֽוֹ׃ (ס)
(12) The Reubenites, the Gadites, and the half-tribe of Manasseh went across armed in the van of the Israelites, as Moses had charged them. (13) About forty thousand shock troops went across, at the instance of the LORD, to the steppes of Jericho for battle.

Approach #1: Reconciliation


The traditional rabbinic approach to textual issues is to address them on a case by case basis, harmonizing them to avoid contradiction. For each source ask yourselves, what does this source identify as the issue and how do they solve it? Is it compelling?

כי אתם המעט – הַמְמַעֲטִין עַצְמְכֶם, כְּגוֹן אַבְרָהָם שֶׁאָמַר (בראשית י"ח) "וְאָנֹכִי עָפָר וָאֵפֶר", וּכְגוֹן מֹשֶׁה וְאַהֲרֹן שֶׁאָמְרוּ (שמות ט"ז) "וְנַחְנוּ מָה", לֹא כִנְבוּכַדְנֶאצַּר שֶׁאָמַר (ישעיהו י"ד) "אֶדַּמֶּה לְעֶלְיוֹן", וְסַנְחֵרִיב (שם ל"ו) שֶׁאָמַר "מִי בְּכָל אֱלֹהֵי הָאֲרָצוֹת", וְחִירָם שֶׁאָמַר (י"ח כ"ח) "אֵל אָנִי מוֹשַׁב אֱלֹהִים יָשַׁבְתִּי" (חולין פ"ט):
כי אתם המעט FOR YOU ARE LITTLE — you regard yourselves as small, as, e.g., Abraham did who said, (Genesis 18:27) “For I am dust and ashes", and as, e.g., Moses and Aaron did who said, (Exodus 16:7) “And we, what are we?". Not as Nebuchadnezzar who said, (Isaiah 14:14) “I will be like the Most High", and Sennacherib who said, (Isaiah 36:20) “Who are they among all the gods of these countries [that have delivered their countries out of my hand?]", and Hiram who said, (Er. 28:2), “I am a god, I sit in the seat of God" (Chullin 89a).

ויהי כל בכור זכר. מִסְפַּר בְּנֵי יִשְׂרָאֵל מִבֶּן עֶשְׂרִים שָׁנָה וָמַעְלָה הָיָה כְּשֵׁשׁ מֵאוֹת אֶלֶף, וּבְצֵרוּף הַטַּף הַזָּכָר כַּכָּפוּל מִזֶּה. וּמִסְפָּר הַבְּכוֹרִים מִבֶּן חוֹדֶשׁ וּמַעְלָה הָיָה שְׁנַיִם וְעֶשְׂרִים אֶלֶף שְׁלֹשָׁה וְשִׁבְעִים וּמָאתָיִם, וּלְפִי זֶה הָיָה רַק בְּכוֹר זָכָר אֶחָד לְכֹל שִׁשִּׁים זְכָרִים, כִּי רוֹב הַנָּשִׁים הִפִּילוּ בְּמִצְרַיִם מֵחֲמַת הַשִּׁעְבּוּד וְהַמְּצוּקָה וְנִתְמַעֲטוּ הַבְּכוֹרִים. פֵּרוּשׁ אַחֵר, לְפִי שֶׁגַּם הַלְּוִיִּים הָיוּ מְתֵי מִסְפָּר כְּעֶשְׂרִים וּשְׁנַיִם אֶלֶף מִבֶּן חוֹדֶשׁ וּמַעְלָה, וּלְעוּמַּת שֵׁבֶט מְנַשֶּׁה שֶׁהָיָה הַקָּטָן שֶׁבִּשְׁאָר הַשְּׁבָטִים וּמָנָה כִּשְׁלֹשִׁים וּשְׁנַיִם אֶלֶף מִבֶּן עֶשְׂרִים שנה וּמַעְלָה וּבְצֵרוּף הַטַּף הַזָּכָר כַּכָּפוּל מִזֶּה, וְנִמְצָא שֶׁבְּנֵי מְנַשֶּׁה הָיוּ פִּי שְׁלוֹשָׁה מִבְּנֵי לֵוִי. וְהַטַּעַם שֶׁהַלְּוִיִּים הָיוּ מְעַטִּים נִרְאֶה עַל פִּי מָה שֶׁאָמְרוּ בִּשְׁמוֹת רַבָּה (ה) שֶׁשֵּׁבֶט לֵוִי לֹא נִשְׁתַּעְבֵּד בְּמִצְרַיִם, וְהוּא הַדִּין הַבְּכוֹרִים שֶׁשִּׁמְּשׁוּ כַּכֹּהֲנִים לֹא נִשְׁתַּעְבְּדוּ, וְלָכֵן הַלְּוִיִּים וְהַבְּכוֹרִים לֹא רָצוּ לַעֲזוֹב אֶת מִצְרַיִם וְהִתְבּוֹלְלוּ אוֹ שֶׁמֵּתוּ בָּג' יְמֵי הַחוֹשֶׁךְ וְרַק מְעַטִּים מֵהֶם יָצְאוּ מִמִּצְרַיִם.

The number of Israelites 20 years old and above was about 600,000, and including the younger males, around double that. And the number of first born sons one month old and above was 22,273, and according to this there would be one first born son for every 60 male children, because most of the women miscarried in Egypt because of the hardship and distress so the number of first borns decreased. Another explanation is that since the Levites are also 22,000 from one month and up, and looking at Menashe, which was the smallest tribe, as they numbered around 32,000 from 20 years old and above, and twice that counting the younger males, we find that Menashe was three times the size of Levi. And the reason the Levites were so small is based on what it says in Shemot Rabah (5), that the tribe of Levi was not enslaved in Egypt, and so too regarding the first born sons who had the roles of priests and were not enslaved, and because of this, the Levites and the first born sons didn’t want to leave Egypt and they were assimilated or died during the 3 days of Darkness and only a small portion of them left Egypt.

ויעברו בני ראובן וכו'. פֵּירֵשׁ הָרַב כְּלִי יָקָר ז"ל דְּכָל שִׁבְטֵי רְאוּבֵן וְגָד וַחֲצִי מְנַשֶּׁה כֻּלָּם עָבְרוּ אֶת הַיַּרְדֵּן וְנִשְׁאֲרוּ מֵהֶם כַּמ' אֶלֶף לָלֶכֶת עִם יִשְׂרָאֵל וְכוּ' ע"ש וְלָא שְׁמִיעַ לִי דִּקְרָא קָאָמַר חֲמוּשִׁים כַּאֲשֶׁר דִּיבֶּר אֲלֵיהֶם מֹשֶׁה וּמוּכָח לְקַיֵּים תְּנָאָם, אַךְ מ"ש דְּלָא עָבְרוּ עִם יִשְׂרָאֵל כֹּל יוֹצֵא צָבָא מֵהֶם כִּי אִם הַנִּבְחָרִים וְהַגִּבּוֹרִים וְהֵם מ' אֶלֶף דַּוְקָא נִרְאֶה הַדָּבָר מוּכְרָח כמ"ש הוּא ז"ל:

The Kli Yakar explained that the entirety of the tribes of Reuben, Gad, and half of Menashe crossed the Jordan and about 40,000 remained there to go with Israel. But this does not make sense to me, because not all of them in the army went with Israel, only the special ones and the mighty ones and they numbered 40,000 [...]

ויעברו. עַד עַתָּה הָיוּ בְּנֵי רְאוּבֵן וּבְנֵי גָּד נוֹסְעִים כְּסֵדֶר הַדְּגָלִים, וּמֵעַתָּה הִתְחִילוּ לַעֲבוֹר לִפְנֵי הָעָם בְּרֹאשָׁם, כְּמוֹ שֶׁאָמַר חֲלוּצִים תַּעַבְרוּ לִפְנֵי אֲחֵיכֶם (דְּבָרִים ג, יח). וְשָׁם חֲמוּשִׁים, מִצַּד שֶׁהָיָה דַּרְכָּם לְהִתְחַלֵּק לִגְדוּדִים שֶׁל חֲמִשִּׁים חֲמִשִּׁים אִישׁ וְשַׂר חֲמִשִּׁים בְּרֹאשָׁם, וְשָׁם חֲלוּצִים עַל שֶׁנֶּחְלְצוּ מִן יָתֵר אֲחִיהֶם לָלֶכֶת לַמִּלְחָמָה, כִּי לֹא הָלְכוּ כּוּלָּם, שֶׁבְּנֵי רְאוּבֵן וְגָד לְבַדָּם הָיוּ מִסְפָּרָם יוֹתֵר מִן פ"ג אֶלֶף:

Until now the tribes of Reuben and Gad had been traveling as they had in the desert, but now they began to lead the nation, as it says "You must go as vanguard troops ahead of your kinsmen" (Duet 3:18). It says “armed” because their custom was to travel in battalions of 50 men with a commander at the head. It says “vanguard troops” because they would separate to go to war, since they did not all go, because Reuben and Gad on their own numbered more than 83,000.

Hertz Chumash:

"What is meant is the number of first-born males under twenty years of age at the time of the census. The law did not have retrospective force, so as to include all first-born sons throughout the nation who themselves were fathers or grandfathers at the time"

Approach 2: Redefining "eleph" Ben Gurion/Petrie


אלף ᴵ a base prob. meaning orig. ‘to be linked together, be connected’.
— Qal - אָלַף he learned (in the Bible occurring only on the imp. תֶּאְלַף).
— Pi. - אִלֵּף 1 he trained, taught; NH 2 he tamed, domesticated.
— Pu. - אֻלַּף 1 was trained, was taught; 2 was tamed, was domesticated. [cp. Akka. ulāpu (= band), elippu (= ship), whence arose the meanings ‘to join, be familiar with’. Related to Arab. alifa, wālafa (= was acquainted with, was familiar with, was accustomed to, learned), Aram. אֲלַף, יְלֵף, Syr. יֽלֵף (= he learned), Ugar. ’lp (= confederates).] Derivatives: אַלּוּף ᴵᴵᴵ, אִלּוּף, אֻלְפָּן, מְאַלֵּף, מֽאֻלָּף, prob. also אֶלֶף ᴵ and אֶלֶף ᴵᴵ.

(יד) וַעֲשָׂרָ֤ה נְשִׂאִים֙ עִמּ֔וֹ נָשִׂ֨יא אֶחָ֜ד נָשִׂ֤יא אֶחָד֙ לְבֵ֣ית אָ֔ב לְכֹ֖ל מַטּ֣וֹת יִשְׂרָאֵ֑ל וְאִ֨ישׁ רֹ֧אשׁ בֵּית־אֲבוֹתָ֛ם הֵ֖מָּה לְאַלְפֵ֥י יִשְׂרָאֵֽל׃
(14) accompanied by ten chieftains, one chieftain from each ancestral house of each of the tribes of Israel; they were every one of them heads of ancestral houses of the contingents of Israel.
(טו) וַיֹּ֤אמֶר אֵלָיו֙ בִּ֣י אדושם בַּמָּ֥ה אוֹשִׁ֖יעַ אֶת־יִשְׂרָאֵ֑ל הִנֵּ֤ה אַלְפִּי֙ הַדַּ֣ל בִּמְנַשֶּׁ֔ה וְאָנֹכִ֥י הַצָּעִ֖יר בְּבֵ֥ית אָבִֽי׃
(15) He said to Him, “Please, my lord, how can I deliver Israel? Why, my clan is the humblest in Manasseh, and I am the youngest in my father’s household.”
(כח) וַיַּֽעֲשׂ֥וּ בְנֵֽי־לֵוִ֖י כִּדְבַ֣ר מֹשֶׁ֑ה וַיִּפֹּ֤ל מִן־הָעָם֙ בַּיּ֣וֹם הַה֔וּא כִּשְׁלֹ֥שֶׁת אַלְפֵ֖י אִֽישׁ׃

(28) The Levites did as Moses had bidden; and some three elef of the people fell that day.

Each “ אֶ֖לֶף”, according to Petrie, yields an average of 9 fighting men, for a total invasion force of 108 fighting men in Year 1, and only slightly more in Year 40, when they invade Midian.

Remaining questions:
How would this theory deal with the number of first born males?

What assumptions is it predicated on?

Approach 3: Symbolic


Ani Maamin, Joshua Berman

The sums indicated for each tribe are a reflection of status. It is not a coincidence that we have in the book of Numbers positive stories about the tribe of Menashe (such as the daughters of Tzlofhad [Numbers 21] and the exploits of Yair ben Menashe [Numbers 32]) and negative stories about the tribe of Shimon (Zimri, Numbers 25). Due to those events, it may be that Menashe receive a “raise” in numbers, and Shimon a “penalty.” Whatis fascinating here is that the relative sizes of the tribes in the final census of chapter 26 neatly mirror the relative standing of each tribe within the blessings of Jacob to the brothers in Genesis 49. There, the two most celebrated tribes are Judah and Joseph. The least “blessed” tribes are Reuven, Shimon, and Levi, who are subject to censure from Jacob. The other tribes receive brief blessings. In Numbers 26, Judah and Joseph (ie. Menashe and Ephraim) have much larger populations than any other tribe, both in excess of 75,000. At the bottom of the list are Shimon (22,200) and Levi (23,000), with all the other tribes tallying between 45,000 and 64,000. The clincher is this: Reuven (43,980, prior to the Korah rebellion) is nearly twice the size of the smallest tribe (Shimon). That is, Reuven, as a censured firstborn, receives the smallest possible double portion of blessing, at twice the size of the smallest tribe, Shimon. Seen through this prism, the “census” numbers are manipulated by the text of the Torah as a way of encoding status to the tribes in accordance with Jacob's blessings, just as the census of Genesis 46 was manipulated to ascribe status to the matriarchs Leah and Rachel.

A Mathematical Conundrum, Eryl W. Davies

The most ingenious attempt to explain the large numbers of Israelites was undoubtedly that offered by H. Holzinger, who interpreted the figures by means of the principle of gematria, a system by which each letter of the Hebrew alphabet was given a specific numerical value." The first ten letters of the alphabet represented the numbers one to ten, the next ten letters represented the number of tens, and the remaining letters the number of hundreds. On the basis of this system, Holzinger calculated that the numerical value of the letters in the Hebrew phrase bene-yisrael (Num. i 2), when added together (viz., 2 + 50 + 10 + 10 + 300 + 200+1+30) yields the sum of 603, which represents the total, in thousands, of those counted in the first census (603,550; cf. Num. i 46). With regard to the remaining 550, Holzinger suggested two possibilities: (i) the letters in the clause kol-zdkar lekol-yose) sdbda (cf. Num. i 2, 45) yield a numerical value of 551, which can be reduced to the requisite 550 if Moses is discounted; (ii) the Samaritan text suggests reading ("company by company") in Num. i 45 which yields the sum of 563, or 550 if Moses and his twelve assistants are discounted. The sum total of 601,730 in the second census (Num. xxvi 51) is derived, on the same principle, from the phrases kol-rdasim (= 601; i.e., 20 + 30 + 200+1 + 300 + 10+40) and wekol-peqdde Cadat (= 730; i.e., 6+20 + 30 + 80+ 100+6+4+ 10+70+4+400)

Judaic Seminar, Parshat Bamidbar Part II- ttp://judaicseminar.org/bible/bemidbar2.pdf

“Consistent with his understanding of number symbolism in the Torah, Rabbi Sassoon considered it significant that the total of the twelve tribes plus the Levites (never explicitly stated in the text) is 612,130 (603,550 + 8,580). While rejecting nearly all cases of gematriot… his research demonstrated that such number symbolism was a genuine element in some scriptural writings. Here, he considered 612 to be intended as the gematria of ברְּיתִ (covenant), while 130 is the decimal multiple (10 x 13) of the gematria of אחד (one.) This depicts an ideal state of the nation united in its covenant with the one G-d (see Natan Hochmah Lishlomo, Heb. p. 55).” -

A Mathematical Conundrum, Eryl W. Davies

A different approach to the high numbers contained in the two census lists of Num. i and xxvi has been advocated by M. Barnouin,who argued that some striking affinities exist between the census figures recorded in these two chapters and various calcula- tions found in Babylonian astronomical texts. According to this theory, the census figures, when divided by 100, can be related to specific planetary periods calculated by the Babylonian astrologers. The clearest example of such a correlation is found in the case of the Benjaminites, whose total in the first census comprised 35,400, i.e. 100 times a short lunar year (354 days). Other cases are more complicated, and involve adding together, or subtracting, various numbers in the census lists. For example, the number given for Ephraim in the first census (40,500 + 100 = 405) added to the number given to this tribe in the second census (32,500 + 100 = 325) gives a total of 730, which is exactly twice the length of the solar year (365 days).

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