Properties of the Number 31664

Thirty-One Thousand Six Hundred Sixty-Four

Basics

Value: 31663 → 31664 → 31665

Parity: even

Prime: No

Previous Prime: 31663

Next Prime: 31667

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 1979

Divisors: 1, 2, 4, 8, 16, 1979, 3958, 7916, 15832, 31664

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110110000

Octal: 75660

Duodecimal: 163A8

Hexadecimal: 7bb0

Square: 1002608896

Square Root: 177.9438113562818

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

10-step Fibonacci sequence starting with 0,0,0,0,1,0,0,0,0,0. A251763

Number of ways to place 2 nonattacking kings on an n X n cylindrical chessboard. A194650

Number of 3Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207112

Numbers k such that s(k) = s(k+1) but φ(k) ≠ φ(k+1), where s(k) = φ(k) + φ(φ(k)) + ... + 1 is the sum of iterated φ (A092693). A291177

2n·binomial(2n,n) - 4ⁿ. A68552

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207111

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 76. A31664