Properties of the Number 65955

Sixty-Five Thousand Nine Hundred Fifty-Five

Basics

Value: 65954 → 65955 → 65956

Parity: odd

Prime: No

Previous Prime: 65951

Next Prime: 65957

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 4397

Divisors: 1, 3, 5, 15, 4397, 13191, 21985, 65955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000110100011

Octal: 200643

Duodecimal: 32203

Hexadecimal: 101a3

Square: 4350062025

Square Root: 256.81705550839104

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

One sixth of the unitary sociable numbers. A97323

Number of n X 7 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically. A207390

Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically. A207394

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically. A207391

a(n) = floor((-1)ⁿ*n!*(E(n,2)-E(n,1)*E(n-1,1))) where E(n,x) = ∑_k=0..n (-1)^k*x^k/k!. A65955