Properties of the Number 84581

Eighty-Four Thousand Five Hundred Eighty-One

Basics

Value: 84580 → 84581 → 84582

Parity: odd

Prime: No

Previous Prime: 84559

Next Prime: 84589

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 43 × 281

Divisors: 1, 7, 43, 281, 301, 1967, 12083, 84581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100101001100101

Octal: 245145

Duodecimal: 40B45

Hexadecimal: 14a65

Square: 7153945561

Square Root: 290.8281279381346

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

Expansion of x/(1 - 6·x - 5·x²). A15551

a(n) = (1/s(1) + 1/s(2) + ... + 1/s(n+1)) * LCM{1, 2, ..., n}, where s(k) = LCM{1,2,...,k}/k = A002944(k). A25537

Denominators of continued fraction convergents to sqrt(501). A41957

Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302413

Number of 6Xn 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302419

Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302409

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302415

Let y = m/GK(k), where m and k vary over the positive integers and GK(k)=log(1+1/(k*(k+2)))/log(2) is the Gauss-Kuzmin distribution of k. Sort the y values by size and number them consecutively by n. This sequence gives the values of n when k=1. A84581