Properties of the Number 65672

Sixty-Five Thousand Six Hundred Seventy-Two

Basics

Value: 65671 → 65672 → 65673

Parity: even

Prime: No

Previous Prime: 65657

Next Prime: 65677

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 8209

Divisors: 1, 2, 4, 8, 8209, 16418, 32836, 65672

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000010001000

Octal: 200210

Duodecimal: 32008

Hexadecimal: 10088

Square: 4312811584

Square Root: 256.2654873368632

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

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^{4^(k-1}). A344248

a(n) = (2ⁿ⁺¹ + n² + n)/2. A132109

Fibonacci-Zumkeller numbers: a(n)=n if n<=3, otherwise the smallest number >= a(n-2) + a(n-1) having at least one common factor with a(n-2), but none with a(n-1). A249357

Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A301995

Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A305093

Number of length n binary words that contain an even number of 0's or exactly two 1's. A236291

T(n,k) = Number of nondecreasing arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others. A183904

Permutation of N induced by rotating the node 7 right in the infinite planar binary tree shown at A065658. A65672

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208418