Properties of the Number 31800

Thirty-One Thousand Eight Hundred

Basics

Value: 31799 → 31800 → 31801

Parity: even

Prime: No

Previous Prime: 31799

Next Prime: 31817

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 ² × 53

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110000111000

Octal: 76070

Duodecimal: 164A0

Hexadecimal: 7c38

Square: 1011240000

Square Root: 178.3255450012701

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

Number of ways to place 2 nonattacking knights on an n X n board. A172132

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock nonsingular. A183710

Matrix log of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111838

Column 0 of the matrix logarithm (A111838) of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying the element in row n by n!. A111839

The sum of the principal diagonals of an n X n spiral. A137930

Sum of the principal diagonals of a 2n X 2n square spiral. A137931

Triangle read by rows: T(n,k) is the number of labeled weakly graded (ranked) posets with n elements and rank k. A361951

Prime sieve of φ. A247861

Number of two-dimensional three-sided prudent 2n-step returns. A151720

a(n) = 4*(n+1)*(9·n+4). A304505