Properties of the Number 65972

Sixty-Five Thousand Nine Hundred Seventy-Two

Basics

Value: 65971 → 65972 → 65973

Parity: even

Prime: No

Previous Prime: 65963

Next Prime: 65981

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 16493

Divisors: 1, 2, 4, 16493, 32986, 65972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000110110100

Octal: 200664

Duodecimal: 32218

Hexadecimal: 101b4

Square: 4352304784

Square Root: 256.8501508662201

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) = ∑_k=0..n C(2k+1,k)*C(2k+1,n-k) ; equals row 1 of square array A137634; also equals the convolution of A137635 and A073157. A137636

Square array where T(n,k) = ∑_j=0..k C(n+2·j,j)*C(n+2·j,k-j), read by antidiagonals. A137634

Number of n X 2 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. A275498

30·a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 17. A90891

Array read by antidiagonals: T(0,m)=2, T(1,m)=1, T(n,m)=A000032(n) and recursively T(n,m)=( T(n-1,m)² + (4·m + 1)*(-1)ⁿ) / T(n-2, m), n>=0, m>=1. A178030

Inverse binomial transform of A064413. A65972