Properties of the Number 92960

Ninety-Two Thousand Nine Hundred Sixty

Basics

Value: 92959 → 92960 → 92961

Parity: even

Prime: No

Previous Prime: 92959

Next Prime: 92987

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 × 7 × 83

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110101100100000

Octal: 265440

Duodecimal: 45968

Hexadecimal: 16b20

Square: 8641561600

Square Root: 304.8934240025521

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

Smaller member of an infinitary amicable pair. A126169

G.f. satisfies A(x) = G(x/(1-x)³) where G(x) = 1 + x·G(x)³ is the g.f. of A001764. A213282

E.g.f. satisfies A(x) = x·exp(x + 3·A(x)). A360482

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n,r) * binomial(n+2·r+k,n)/(n+2·r+k) for k > 0. A378236

Indices k such that 9 plus the k-th triangular number is a perfect square. A154142

Expansion of ∏_{i>=1, j>=1, k>=1} (1 - x^i·j*k)/(1 + x^i·j*k). A321241

Triangle read by rows: T(n, k) = 3ⁿ*∑_j=0..k (-1)^{k - j}*binomial(k, j) * Pochhammer(j/3, n). A371076

Let·be the sum of the divisors d_i of k such that d_i | σ(k). Sequence lists the numbers k for which x² = σ(k). A284283

G.f. satisfies: A(x) = 1 + x/A(-x)³. A213281

Least square of the form 'sum of n successive terms of a geometric progression + 1', or 0 if no such square exists. A92960