Properties of the Number 91392

Ninety-One Thousand Three Hundred Ninety-Two

Basics

Value: 91391 → 91392 → 91393

Parity: even

Prime: No

Previous Prime: 91387

Next Prime: 91393

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 7 × 17

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110010100000000

Octal: 262400

Duodecimal: 44A80

Hexadecimal: 16500

Square: 8352497664

Square Root: 302.31109804305896

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

a(n) = (6·n)!/((3·n)!*(2·n)!) * (3·n/2)!/(5·n/2)!. A347857

Triangle T(n,m) read by rows: let p(n,x) = exp(-x) * ∑_{m >= 0} (2·m + 1)ⁿ * x^m/m!; then T(n,m) = [x^m] p(n,x). A154537

a(n) = 2ⁿ * binomial(3n,n)/(2n+1). A153231

Number of (directed) Hamiltonian paths (or Gray codes) on the n-cube. A91299

Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive semi-definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A83029

A unitary φ reciprocal amicable number: consider two different numbers r, s which satisfy the following equation for some integer k: uphi(r) = uphi(s) = (1/k) * r·s / (r-s); or equivalently, 1/uphi(r) = 1/uphi(s) = k * (1/s - 1/r); sequence gives r numbers. A80766

The fourth row of the ED2 array A167560. A167561

Number of n X n symmetric binary matrices with each 1 adjacent to no more than 1 diagonally or antidiagonally neighboring 1. A191551

a(n) = (2·n + 4)!*(n² + 11·n + 2)/(2*(n-1)!*(n+6)!). A294445

Number of directed Hamiltonian paths on the n X n torus grid graph. A276291