Properties of the Number 31107

Thirty-One Thousand One Hundred Seven

Basics

Value: 31106 → 31107 → 31108

Parity: odd

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 10369

Divisors: 1, 3, 10369, 31107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100110000011

Octal: 74603

Duodecimal: 16003

Hexadecimal: 7983

Square: 967645449

Square Root: 176.3717664480344

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 ordered triples (i,j,k) with |i| + |j| + |k| <= n and gcd(i,j,k) <= 1. A100450

Expansion of ∏_k>=1 (1 - x^10·k)/(1 - x^k). A261776

Composites whose prime factorization in base 12 is an anagram of the number in base 12. A260055

a(n) is the number of terms in row n of the array A378303. A378307

Generalized Markoff numbers: largest of 7-tuple of positive numbers a, b, c, d, e, f, g satisfying the Markoff(7) equation a²+b²+c²+d²+e²+f²+g² = 3abcdefg. A227211

a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1, 2] as of [1, 1, 3]. A211288

a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 4. A7309

Expansion of (1-4x)/(1-x²+x³). A117379

Position of n-th 6 in A031100. A31107