Properties of the Number 31199

Thirty-One Thousand One Hundred Ninety-Nine

Basics

Value: 31198 → 31199 → 31200

Parity: odd

Prime: No

Previous Prime: 31193

Next Prime: 31219

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 4457

Divisors: 1, 7, 4457, 31199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100111011111

Octal: 74737

Duodecimal: 1607B

Hexadecimal: 79df

Square: 973377601

Square Root: 176.63238661128938

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 partitions p of n such that floor(mean(p)) is a part and ceiling(mean(p)) is not. A241342

Decimal encoding of the prime factorization of n is a multiple of n. A67598

a(n) = 78·n² - 1. A158771

Numbers n such that 283·2ⁿ-1 is prime. A50900

The prime factors of n are also prime factors of the decimal encoding (A067599) of the prime factorization of n. A67671

Number of strings of numbers x(i=1..8) in 0..n with sum i·x(i)⁴ equal to 8·n⁴. A184852

Number of permutations of length n containing exactly 1 occurrence of 1243. A224179

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)^2·n+2)ⁿ⁺¹ for n >= 0. A360346

Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 1243. 0 <= k <= A028723(n + 1). A342863

Numbers having period-30 6-digitized sequences. A31199