Properties of the Number 31775

Thirty-One Thousand Seven Hundred Seventy-Five

Basics

Value: 31774 → 31775 → 31776

Parity: odd

Prime: No

Previous Prime: 31771

Next Prime: 31793

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 ² × 31 × 41

Divisors: 1, 5, 25, 31, 41, 155, 205, 775, 1025, 1271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111110000011111

Octal: 76037

Duodecimal: 1647B

Hexadecimal: 7c1f

Square: 1009650625

Square Root: 178.25543469975887

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) = n³ - n² + n - 1 = (n-1) * (n² + 1). A62158

A positive integer n is included if n written in binary can be subdivided into a number of runs all of equal-length, the first run from the left consisting of all 1's, the next run consisting of all 0's, the next run consisting of all 1's, the next run consisting of all 0's, etc. A140690

List of codewords in binary lexicode with Hamming distance 10 written as decimal numbers. A75946

Basis for code in A075946. A75947

Positions of check bits in code in A075949. A75951

Numbers whose binary representation is the concatenation of n 1's, n 0's and n 1's. A145641

a(n) = ∑_d∣n d² * (d+1)/2. A278403

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 478", based on the 5-celled von Neumann neighborhood. A288505

Lerch's function q₂(n) = (2^φ(t) - 1)/t where t = 2·n - 1. A1226

Numbers such that every run length in base 2 is 5. A154808