Properties of the Number 31303

Thirty-One Thousand Three Hundred Three

Basics

Value: 31302 → 31303 → 31304

Parity: odd

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 23 × 1361

Divisors: 1, 23, 1361, 31303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001000111

Octal: 75107

Duodecimal: 16147

Hexadecimal: 7a47

Square: 979877809

Square Root: 176.92653842767623

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

Solution to the problem of finding the number of comparisons needed for optimal merging of 3 elements with n elements. A239100

Centered 47-gonal numbers. A129428

Numbers n such that sopfr(n-1) | (n+sopfr(n+1)) and sopfr(n+1) | (n+sopfr(n-1)), where sopfr = A001414 (sum of prime factors with repetition). A196994

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 65", based on the 5-celled von Neumann neighborhood. A270085

Pure numbers in the Collatz (3x+1) iteration. Also called pure hailstone numbers. A61641

a(n) = floor(n·coth(1)). A109237

Position of n-th 4 in A031298. A31303

G.f. satisfies: A(x) = 1+x + x*∑_n=-oo..+oo xⁿ*A(x)ⁿ * (A(x)ⁿ - xⁿ)ⁿ. A262006