Properties of the Number 31822

Thirty-One Thousand Eight Hundred Twenty-Two

Basics

Value: 31821 → 31822 → 31823

Parity: even

Prime: No

Previous Prime: 31817

Next Prime: 31847

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 2273

Divisors: 1, 2, 7, 14, 2273, 4546, 15911, 31822

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111110001001110

Octal: 76116

Duodecimal: 164BA

Hexadecimal: 7c4e

Square: 1012639684

Square Root: 178.38721927313065

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 numerical semigroups with Frobenius number n; that is, numerical semigroups for which the largest integer not belonging to them is n. A124506

Number of fixed polyominoes with n cells that have a diagonal axis of symmetry going from lower left to upper right. A346800

Generating function satisfies A(x) = exp(2·A(x)*x + 2·A(x³)*x³/3 + 2·A(x⁵)*x⁵/5 + 2·A(x⁷)*x⁷/7 +...). A73075

Number of n X 7 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order. A166812

Solutions·to the negative Pell equation x² - 10·y² = -6 with x > y > 0. A281647

Intersection of A361073 and 2·A361611. A361215

Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits. A85546

Number of length-n 0..7 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269618

Number of length-5 0..n arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269621

a(n) is the number of partitions of 72·n + 42 into 10 odd squares. A323891