ismael chang ghalimi

Posted
4 November 2010 @ 9am

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From
Palo Alto, CA

37

Number name:
thirty-seven

Visual representation:
……………………………….

Roman numerals:
XXXVII

Binary form:
100101

Prime factorization:
37 is a prime number.

Residues modulo small integers:
(2,1) (3,1) (4,1) (5,2) (6,1) (7,2) (8,5) (9,1)

Quadratic residues modulo 37:
1, 3, 4, 7, 9, 10, 11, 12, 16, 21, 25, 26, 27, 28, 30, 33, 34, 36

Primitive roots modulo 37:
2, 5, 13, 15, 17, 18, 19, 20, 22, 24, 32, 35

Character code 37:
% percent sign

ASCII:
37 (hex: 25, octal: 0045, binary: 00100101)

Properties:
37 is an odd number.
37 has a representation as a sum of 2 squares: 37 = 1² + 6²
37 is an irregular prime (divides Bernoulli number B32’s numerator).
37 is the hypotenuse of a primitive Pythagorean triple: 37² = 12² + 35²

From Wolfram|Alpha


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