while their difference is "},"parts":[{"template":{"target":{"wt":"efn","href":"./Template:Efn"},"params":{"1":{"wt":"32 is the ninth {{math|10}}-[[happy number]], while 23 is the sixth.{{Cite web|url=https://oeis.org/A007770|title=Sloane's A007770 : Happy numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}} Their sum is [[55 (number)|55]], which is the tenth [[triangular number]], while their difference is "}},"i":0}}]}"> [a]
The first 32 rows of Pascal's triangle read as single binary numbers represent the 32 divisors that belong to this number, which is also the number of sides of all odd-sided constructible polygons with simple tools alone (if the monogon is also included).[10]
In the Standard Model of particle physics, there are 32 degrees of freedom among the leptons and all bosons that interact with them (including the graviton, which is generally expected to exist, and assuming there are no right-handed neutrinos)[citation needed]
In the Kabbalah, there are 32 Kabbalistic Paths of Wisdom. This is, in turn, derived from the 32 times of the Hebrew names for God, Elohim appears in the first chapter of Genesis.
In chess, the total number of black squares on the board, the total number of white squares, and the total number of pieces (black and white) at the beginning of the game.
↑ Specifically, 31 is the eleventh prime number, equal to the sum of 20 and its composite index 11, where 33 is the twenty-first composite number, equal to the sum of 21 and its composite index 12 (which are palindromic numbers).[8][9]32 is the only number to lie between two adjacent numbers whose values can be directly evaluated from sums of associated prime and composite indices (32 is the twentieth composite number, which maps to 31 through its prime index of 11, and 33 by a factor of 11, that is the composite index of 20; the aliquot part of 32 is 31 as well).[2] This is due to the fact that the ratio of composites to primes increases very rapidly, by the prime number theorem.
↑ 29 is the only earlier point, where there are twenty non primes, and ten primes. 40 — twice the composite index of 32 — lies between the 8th pair of sexy primes (37, 43),[18] which represent the only two points in the set of natural numbers where the ratio of prime numbers to composite numbers (up to) is 1/2. Where 68 is the forty-eighth composite, 48 is the thirty second, with the difference 68 – 48 = 20, the composite index of 32.[8] Otherwise, thirty-two lies midway between primes (23, 41), (17, 47) and (3, 61). At 33, there are 11 numbers that are prime and 22 that are not, when considering instead the set of natural numbers that does not include 0. The product 11 × 33 = 363 represents the thirty-second number to return 0 for the Mertens functionM(n).[19]
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15 (fifteen) is the natural number following 14 and preceding 16.
21 (twenty-one) is the natural number following 20 and preceding 22.
33 (thirty-three) is the natural number following 32 and preceding 34.
78 (seventy-eight) is the natural number following 77 and preceding 79.
70 (seventy) is the natural number following 69 and preceding 71.
90 (ninety) is the natural number following 89 and preceding 91.
23 (twenty-three) is the natural number following 22 and preceding 24.
25 (twenty-five) is the natural number following 24 and preceding 26.
35 (thirty-five) is the natural number following 34 and preceding 36
34 (thirty-four) is the natural number following 33 and preceding 35.
31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number.
58 (fifty-eight) is the natural number following 57 and preceding 59.
63 (sixty-three) is the natural number following 62 and preceding 64.
64 (sixty-four) is the natural number following 63 and preceding 65.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
168 is the natural number following 167 and preceding 169.
230 is the natural number following 229 and preceding 231.
240 is the natural number following 239 and preceding 241.
888 is the natural number following 887 and preceding 889.
14 (fourteen) is the natural number following 13 and preceding 15.
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