Properties of the Number 65976

Sixty-Five Thousand Nine Hundred Seventy-Six

Basics

Value: 65975 → 65976 → 65977

Parity: even

Prime: No

Previous Prime: 65963

Next Prime: 65981

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 2749

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2749, 5498

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000110111000

Octal: 200670

Duodecimal: 32220

Hexadecimal: 101b8

Square: 4352832576

Square Root: 256.85793738952276

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) = a(n-1)+a(n-2)+a(n-3)+4·n-8 with a(0)=0, a(1)=0 and a(2)=1. A180668

G.f.: ∑_n>=0 (n+1) * xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺². A326285

G.f.: A(x) = ∑_n>=0 x^n² / ∏_k=1..n (1 - x^k)ⁿ. A193197

Number of n X 3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2. A221397

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2. A221400

Consecutive terms of A065966 which are also consecutive integers. A65976