Properties of the Number 11937

Eleven Thousand Nine Hundred Thirty-Seven

Basics

Value: 11936 → 11937 → 11938

Parity: odd

Prime: No

Previous Prime: 11933

Next Prime: 11939

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 × 173

Divisors: 1, 3, 23, 69, 173, 519, 3979, 11937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111010100001

Octal: 27241

Duodecimal: 6AA9

Hexadecimal: 2ea1

Square: 142491969

Square Root: 109.25657874929088

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of T₀ integer partitions of n. A319564

Number of singular 2 X 2 matrices having all elements in {-n,...,n}. A209981

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495

Positive numbers whose product of digits is 9 times their sum. A62041

Fundamental discriminants of real quadratic number fields with class number 10. A218160

Numbers that are the sum of eight fifth powers in two or more ways. A345610

Numbers that are the sum of eight fifth powers in exactly two ways. A346327

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+647)² = y². A130013

First occurrence of exactly n 1's in the binary expansion of sqrt(2). A84186

Divide the natural numbers in sets of consecutive numbers, starting with {1,2}, each set with number of elements equal to the sum of elements of the preceding set. The number of elements in the n-th set gives a(n). A67338