Properties of the Number 10085

Ten Thousand Eighty-Five

Basics

Value: 10084 → 10085 → 10086

Parity: odd

Prime: No

Previous Prime: 10079

Next Prime: 10091

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 2017

Divisors: 1, 5, 2017, 10085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101100101

Octal: 23545

Duodecimal: 5A05

Hexadecimal: 2765

Square: 101707225

Square Root: 100.42410069301094

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 of n into relatively prime parts. Also aperiodic partitions. A837

a(n) = 6·n² - 1. A140811

Number of permutations of [n] with nondecreasing cycle sizes. A286074

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction. A221852

G.f.: ∑_k>=0 x^k * ∏_j=1..4·k (1 + x^j). A385068

Largest side lengths of almost-equilateral Heronian triangles. A335025

Number of prime powers p^k (k ≠ 1) <= 10ⁿ. A76048

a(n) is the number of states that can be achieved when starting from n piles each containing one stone, where any number of stones can be transferred between piles that start with the same number of stones. A292726

Principal diagonal of the convolution array A213582. A213583

Partitions with parts repeated at most twice and repetition only allowed if first part has an even index (first index = 1). A227135