Properties of the Number 85681

Eighty-Five Thousand Six Hundred Eighty-One

Basics

Value: 85680 → 85681 → 85682

Parity: odd

Prime: No

Previous Prime: 85669

Next Prime: 85691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 47 × 1823

Divisors: 1, 47, 1823, 85681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100111010110001

Octal: 247261

Duodecimal: 41701

Hexadecimal: 14eb1

Square: 7341233761

Square Root: 292.7131701854223

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

Where records occur in A304480. A335116

Number of n X n 0..1 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. A204191

Number of n X 6 0..1 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. A204195

Expansion of x*(1+38·x+x²)/((1-x)*(x²-34·x+1)). A361491

Second Bernoulli polynomial evaluated at x=n! (multiplied by 6). A20544

A symmetrical triangle sequence: t(n,m)=n!*Eulerian[n + 1, m] - n! + 1. A174691

T(n,k) = Number of n X k 0..1 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. A204197

Integers of the form 2ⁿ*p where p is a prime > 2ⁿ. A85681