Properties of the Number 9186

Nine Thousand One Hundred Eighty-Six

Basics

Value: 9185 → 9186 → 9187

Parity: even

Prime: No

Previous Prime: 9181

Next Prime: 9187

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1531

Divisors: 1, 2, 3, 6, 1531, 3062, 4593, 9186

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111100010

Octal: 21742

Duodecimal: 5396

Hexadecimal: 23e2

Square: 84382596

Square Root: 95.84362263604189

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

Coordination sequence for "ubt" 3D uniform tiling. A299291

T(n,k)=Number of length n+k 0..2 arrays with at most two downsteps in every k consecutive neighbor pairs. A255622

Triangle Q, read by rows, where column k of Q equals column 0 of Q^k+1 and Q is equal to the matrix square of integer triangle P = A135880 such that column 0 of Q equals column 0 of P shift left. A135885

Even numbers k such that 6k+1, 12k+1, 18k+1, 36k+1 and 72k+1 are all primes. A206349

Numbers that are the sum of six fourth powers in exactly three ways. A345815

Numbers k such that 6k+1, 12k+1, 18k+1 and 36k+1 are all primes. A206024

G.f. satisfies: A(x) = 1/(1 + x·A(x⁴)) and also the continued fraction: 1 + x·A(x⁵) = [1; 1/x, 1/x⁴, 1/x¹⁶, 1/x⁶⁴, ..., 1/x^{4^(n-1}), ...]. A101914

Triangle, read by rows equal to the matrix product P·R^-1·P, where P = A135880 and R = A135894; P·R^-1·P equals triangle Q=A135885 shifted down one row. A135899

Numbers m such that 6m+1, 12m+1, 18m+1, 36m+1 and 72m+1 are all prime. A257035

McKay-Thompson series of class 24H for Monster. A58578