Properties of the Number 96992

Ninety-Six Thousand Nine Hundred Ninety-Two

Basics

Value: 96991 → 96992 → 96993

Parity: even

Prime: No

Previous Prime: 96989

Next Prime: 96997

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 7 × 433

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101011100000

Octal: 275340

Duodecimal: 48168

Hexadecimal: 17ae0

Square: 9407448064

Square Root: 311.4353865571477

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

Triangle T(n,k) which contains 8·n!*2^floor((n+1)/2) times the coefficient [tⁿ x^k] exp(t·x)/(7 + exp(4·t)) in row n, column k. A171684

Triangle defined by T(n,k) = ∑_j>=0 C(j+k, k) * C((j+k)*k, n-k) / 2^j+k+1, for n>=0, k = 0..n, as read by rows. A300280

Number of strings of numbers x(i=1..8) in 0..n with sum i³*x(i)² equal to 512·n². A184309

Initial values for f(x)=σ(φ[x])=A062402[x] such that iteration of f ends in cycle of length=6. A96992