Properties of the Number 86616

Eighty-Six Thousand Six Hundred Sixteen

Basics

Value: 86615 → 86616 → 86617

Parity: even

Prime: No

Previous Prime: 86599

Next Prime: 86627

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 401

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001001011000

Octal: 251130

Duodecimal: 42160

Hexadecimal: 15258

Square: 7502331456

Square Root: 294.3059632423373

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 2·n with no part divisible by 3 and all odd parts occurring with even multiplicities. A98151

Expansion of φ(q³) / φ(q) in powers of q where φ() is a Ramanujan θ function. A132002

Expansion of (η(q) * η(q⁹))¹² in powers of q. A34436

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, 0, -1), (1, 1, 1)}. A149263

Partial sums of the large Schroeder numbers (A006318). A86616

a(n) = (n¹² + n⁶)/2. A71235