Properties of the Number 65996

Sixty-Five Thousand Nine Hundred Ninety-Six

Basics

Value: 65995 → 65996 → 65997

Parity: even

Prime: No

Previous Prime: 65993

Next Prime: 66029

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 2357

Divisors: 1, 2, 4, 7, 14, 28, 2357, 4714, 9428, 16499

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000111001100

Octal: 200714

Duodecimal: 32238

Hexadecimal: 101cc

Square: 4355472016

Square Root: 256.89686646590303

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

Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct nonnegative integers chosen from the range 0..n. A97401

Expansion of ∏_k>0 theta₄(q^k)/theta₃(q^k), where theta₃() and theta₄() are the Jacobi θ functions. A320970

Expansion of g.f.: 4ⁿ*n!*(1-y)ⁿ⁺¹*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = -2. A171694

Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram". A34587

a(n) = prime(prime(n) mod n). A65996