Properties of the Number 86539

Eighty-Six Thousand Five Hundred Thirty-Nine

Basics

Value: 86538 → 86539 → 86540

Parity: odd

Prime: Yes

Previous Prime: 86533

Next Prime: 86561

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 86539

Divisors: 1, 86539

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000001011

Octal: 251013

Duodecimal: 420B7

Hexadecimal: 1520b

Square: 7488998521

Square Root: 294.17511791448305

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) = 82n³ - 1228n² + 6130n - 5861. A76808

Prime numbers in their order of occurrence and generated by A119751, the sequence of odd numbers defined recursively by a(1)=1 and a(i) + a(j) + 1 is prime for all i,j. A119753

Primes of the form abs(82n³ - 1228n² + 6130n - 5861) in order of increasing nonnegative n. A272324

a(n) is the smallest odd number that makes a(n)*2^N(n)-1 prime, where N(n) is the n-th Mersenne number that makes 2^N(n)-1 prime. A135434

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 1. A49902

Number of 5 dots bracelet partitions of n. A328543

Number of n-level labeled rooted trees with n leaves. A139383

Beginning with 1, a(n) = smallest number > a(n-1) and coprime to the k previous terms, where k = floor(n/2). A86539