Properties of the Number 37136

Thirty-Seven Thousand One Hundred Thirty-Six

Basics

Value: 37135 → 37136 → 37137

Parity: even

Prime: No

Previous Prime: 37123

Next Prime: 37139

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 11 × 211

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100010000

Octal: 110420

Duodecimal: 195A8

Hexadecimal: 9110

Square: 1379082496

Square Root: 192.70703152713446

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

Structured heptagonal anti-diamond numbers (vertex structure 7). A100186

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)², where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A296252

Number of subsets of {1,2,...,n} such that no two elements differ by 1, 3, or 4. A351874

Irregular triangle read by rows: T(n,k) (0 <= k <= n²) are coefficients of cluster density function for site percolation on an n X n 2D square lattice with open boundary conditions. A365946

Irregular triangle read by rows: T(n,k) (0 <= k <= n²) are coefficients of cluster density function for site percolation on an n X n 2D triangular lattice with open boundary conditions. A365945

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. A260979

Numbers k such that A037134(k) = A037135(k). A37136