Properties of the Number 31172

Thirty-One Thousand One Hundred Seventy-Two

Basics

Value: 31171 → 31172 → 31173

Parity: even

Prime: No

Previous Prime: 31159

Next Prime: 31177

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7793

Divisors: 1, 2, 4, 7793, 15586, 31172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100111000100

Octal: 74704

Duodecimal: 16058

Hexadecimal: 79c4

Square: 971693584

Square Root: 176.555940143627

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

a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), where m = floor((n+2)/2), T given by A027948. A27958

Number of 7-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187302

Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301322

Multiplicity of highest weight (or singular) vectors associated with character chi₆₂ of Monster module. A34450

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301319

a(n) = prime(n+10) - prime(n). A31172

T(n,k)=Number of n-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on a kXk board summed over all starting positions. A187296

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301323