Properties of the Number 86251

Eighty-Six Thousand Two Hundred Fifty-One

Basics

Value: 86250 → 86251 → 86252

Parity: odd

Prime: No

Previous Prime: 86249

Next Prime: 86257

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 × 7841

Divisors: 1, 11, 7841, 86251

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000011101011

Octal: 250353

Duodecimal: 41AB7

Hexadecimal: 150eb

Square: 7439235001

Square Root: 293.685205619895

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

G.f.: exp( ∑_n>=1 A174466(n)*xⁿ/n ) where A174466(n) = ∑_d∣n d*σ(n/d)*τ(d). A174465

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206659

Indices where the cumulative sum of sin(2k+1)^2k+1 reaches a record low value. A387730

Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 8. A245127

Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206652

Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206657

Number of primitive prime factors of 2ⁿ - 1. A86251

Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically. A207892