Properties of the Number 10664

Ten Thousand Six Hundred Sixty-Four

Basics

Value: 10663 → 10664 → 10665

Parity: even

Prime: No

Previous Prime: 10663

Next Prime: 10667

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 31 × 43

Divisors: 1, 2, 4, 8, 31, 43, 62, 86, 124, 172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100110101000

Octal: 24650

Duodecimal: 6208

Hexadecimal: 29a8

Square: 113720896

Square Root: 103.26664514740469

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

G.f. satisfies: A(x) = 1 + x/A(-x·A(x)⁵)². A213095

a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026552. A26566

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the maximum plus the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A238155

Partial sums of A365414. A365444

Integers i > 1 for which there is no prime p such that i is a solution mod p of x⁴ = 2. A65903

First of two consecutive numbers with at least one 3 in their prime signature. A176313

Number of partitions p of n such that floor(mean(p)) and ceiling(mean(p)) are parts of p. A241340

[s(k)-s(j)]/7, where the pairs (k,j) are given by A205862 and A205863, and s(k) denotes the (k+1)-st Fibonacci number. A205865

Numbers k such that k and k+1 both have 16 divisors. A274359

Numbers n such that A083356(n) (the total area of all incongruent integer-sided rectangles of area <= n) is a square. A83357