Properties of the Number 86581

Eighty-Six Thousand Five Hundred Eighty-One

Basics

Value: 86580 → 86581 → 86582

Parity: odd

Prime: No

Previous Prime: 86579

Next Prime: 86587

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 11 × 17 × 463

Divisors: 1, 11, 17, 187, 463, 5093, 7871, 86581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000110101

Octal: 251065

Duodecimal: 42131

Hexadecimal: 15235

Square: 7496269561

Square Root: 294.2464953062313

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

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n} k². A50409

a(n) is the largest k such that k² has a maximal Hamming weight A357658(n) in the range 2ⁿ <= k² < 2ⁿ⁺¹. A357660

a(0) = 6, a(1) = 17, a(n+1) = a(n) + a(n-1) for n>0. A166025

Expansion of x²*(1+x-x²)/(1-2·x-4·x²+x³+x⁴). A123947

Floor of the even-indexed Bernoulli numbers B_2n = A000367(n)/A002445(n). A134825

Numbers having in binary representation more zeros than their squares. A293655

Number of Dyck paths of semilength n with no DDUU. A86581

T(n,k)=Number of length n+k+1 0..k arrays with every value 0..k appearing at least once in every consecutive k+2 elements, and new values 0..k introduced in order. A242239