Properties of the Number 31644

Thirty-One Thousand Six Hundred Forty-Four

Basics

Value: 31643 → 31644 → 31645

Parity: even

Prime: No

Previous Prime: 31643

Next Prime: 31649

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 293

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110011100

Octal: 75634

Duodecimal: 16390

Hexadecimal: 7b9c

Square: 1001342736

Square Root: 177.88760496448313

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

Modified Schroeder numbers for q=3. A114292

Number of partitions p of n including floor(mean(p)) as a part. A241334

A convolution triangle of numbers obtained from A036068. A30524

Zeroless factorials (version 2): a(0) = 1, and for any n > 0, a(n) = noz(1·noz(2 * ... * noz((n-1) * n))), where noz(n) = A004719(n) omits the zeros from n. A321475

Number of n X 3 binary arrays with each 1 adjacent to exactly two 0's. A183331

a(n) = n!*∑_i=1..n (∑_j=1..i (i/j)). A307642

Triangle read by rows: T(n,k) (n>=0, k>=0) is the number of permutations of n with k alignments. A263775

T(n,k) = Number of n X k binary arrays with each 1 adjacent to exactly two 0's. A183335

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 56. A31644