Properties of the Number 37282

Thirty-Seven Thousand Two Hundred Eighty-Two

Basics

Value: 37281 → 37282 → 37283

Parity: even

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 2663

Divisors: 1, 2, 7, 14, 2663, 5326, 18641, 37282

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110100010

Octal: 110642

Duodecimal: 196AA

Hexadecimal: 91a2

Square: 1389947524

Square Root: 193.08547330133356

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

Expansion of ∏_k>=1 1/(1 - x^2·k+1)^k. A263150

Expansion of ∏_k>=1 1/(1 - (4·k-3)*x^4·k-3). A265830

Number of obtuse triangles, distinct up to congruence, on an n X n grid (or geoboard). A190022

Array read by antidiagonals: T(n,k) is the number of ways to place k nonattacking kings on a n X k board. A390158

Number of ways to place 7 nonattacking kings on a 7 X n board. A172206

Stable Poincaré series [or Poincare series] for Lie group of type A (i.e., the variety of complex nonsingular k X k matrices with distinct eigenvalues). A98788

1/16 the number of (n+1) X 4 0..3 arrays with all 2 X 2 subblocks having the same four values. A184033

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 18 (most significant digit on right). A61947

Numbers k such that k divides (prime(3·k) - prime(2·k)). A66893

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 419", based on the 5-celled von Neumann neighborhood. A272047