Properties of the Number 5031

Five Thousand Thirty-One

Basics

Value: 5030 → 5031 → 5032

Parity: odd

Prime: No

Previous Prime: 5023

Next Prime: 5039

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 43

Divisors: 1, 3, 9, 13, 39, 43, 117, 129, 387, 559

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110100111

Octal: 11647

Duodecimal: 2AB3

Hexadecimal: 13a7

Square: 25310961

Square Root: 70.92954250522133

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 unimodal partitions/compositions of n into distinct terms. A72706

Numbers whose binary expansion generates rotationally symmetric XOR-triangles. A334556

Number of 5th-order maximal independent sets in path graph. A7380

Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A68679

Number T(n,k) of partitions of n into parts of exactly k sorts which are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256130

a(n) = n*(31·n + 1)/2. A22289

Number of square binary matrices with n ones, with no zero rows or columns, up to row and column permutation. A57151

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219686

a(n) = 3·n² + 12·n. A67707

Numbers n such that uphi(n) = uphi(n+1), where uphi(n) is the unitary totient function (A047994). A287055