Properties of the Number 31106

Thirty-One Thousand One Hundred Six

Basics

Value: 31105 → 31106 → 31107

Parity: even

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 103 × 151

Divisors: 1, 2, 103, 151, 206, 302, 15553, 31106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100110000010

Octal: 74602

Duodecimal: 16002

Hexadecimal: 7982

Square: 967583236

Square Root: 176.3689315043894

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(0) = 1, a(n) = 24·n² + 2 for n>0. A10014

Difference between successive primes cubed: a(n) = prime(n+1)³ - prime(n)³. A129701

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300472

Glaisher's function V(n). A2611

Triangle read by rows: T(n,k) is the number of k-matchings in the P₄ X P_n lattice graph. A100265

Sequence of numerators associated with the continued fraction based on the sequence d(n)= distance of n from closest prime ( A051699). A110976

Numbers n such that P(13·n) is prime, where P(n) is the unrestricted partition number. A113518

Number of n X 3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300467

Number of n X 6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300470

Number of unit cubes that have a side on the surface of a p X p X p cube composed of p³ unit cubes, where p is the n-th prime. A261971