Properties of the Number 10086

Ten Thousand Eighty-Six

Basics

Value: 10085 → 10086 → 10087

Parity: even

Prime: No

Previous Prime: 10079

Next Prime: 10091

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 41 ²

Divisors: 1, 2, 3, 6, 41, 82, 123, 246, 1681, 3362

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101100110

Octal: 23546

Duodecimal: 5A06

Hexadecimal: 2766

Square: 101727396

Square Root: 100.42907945411031

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) = 6·n². A33581

Number of integer partitions of n into relatively prime parts that are all greater than 1. A302698

Numbers k such that k⁵¹² + 1 is prime. A57465

Number of partitions of n into aliquant parts (i.e., parts that do not divide n). A98743

Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts. A379720

Number of integer partitions of n with no part dividing all the others. A338470

Number of partitions of n into >= 2 parts and with minimum part >= 2. A83751

Number of relatively prime or monic partitions of n. A300486

Number of maximal antichains in rooted plane trees on n nodes. A7853

Number of cyclic arrangements (up to direction) of {1,2,...,n} such that the difference between any two neighbors is b^k for some b>1 and k>1. A242521