Properties of the Number 37255

Thirty-Seven Thousand Two Hundred Fifty-Five

Basics

Value: 37254 → 37255 → 37256

Parity: odd

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7451

Divisors: 1, 5, 7451, 37255

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110000111

Octal: 110607

Duodecimal: 19687

Hexadecimal: 9187

Square: 1387935025

Square Root: 193.0155434155498

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 (n+1) X (6+1) 0..2 arrays with every 2 X 2 subblock summing to 4 and no 2 X 2 subblock having exactly two nonzero entries. A251147

Coefficients in Molien series for 5-dimensional faithful representation of Horrocks-Mumford group G_HM. A258702

a(n) = index of 2·prime(n) in A381019. A379811

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock summing to 4 and no 2 X 2 subblock having exactly two nonzero entries. A251149

For n weights, number of combinations when limited to two weights per pan. A37255

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

Number of nX6 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2. A275563

Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1. A297394

Number of homeomorphically irreducible general graphs on 5 labeled nodes and with n edges. A60580