Properties of the Number 37261

Thirty-Seven Thousand Two Hundred Sixty-One

Basics

Value: 37260 → 37261 → 37262

Parity: odd

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 5323

Divisors: 1, 7, 5323, 37261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110001101

Octal: 110615

Duodecimal: 19691

Hexadecimal: 918d

Square: 1388382121

Square Root: 193.03108557949935

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

1/16 the number of (n+1) X 3 0..3 arrays with all 2 X 2 subblocks having the same four values. A184032

p-INVERT of the positive integers, where p(S) = (1 - S²)(1 - 2·S²). A290930

First of three consecutive Ulam numbers (A002858) in arithmetic progression with difference 22. A68856

Number of partitions of n such that the m(number of distinct parts) is a part, where m = multiplicity. A240307

T(n,k) = 1/16 the number of (n+1) X (k+1) 0..3 arrays with all 2 X 2 subblocks having the same four values. A184039

First differences of A037260. A37261

a(n) = π(8,3)(n) + π(8,5)(n) + π(8,7)(n) - 3*π(8,1)(n), where π(a,b)(x) denotes the number of primes in the arithmetic progression a·k + b less than or equal to x. A329242