Properties of the Number 82561

Eighty-Two Thousand Five Hundred Sixty-One

Basics

Value: 82560 → 82561 → 82562

Parity: odd

Prime: Yes

Previous Prime: 82559

Next Prime: 82567

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 82561

Divisors: 1, 82561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100001010000001

Octal: 241201

Duodecimal: 3B941

Hexadecimal: 14281

Square: 6816318721

Square Root: 287.3343000757132

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

Balanced primes of order ten. A96702

Class 7+ primes. A81635

a(n) = ∑_{k=0..floor(n/7)} C(n-5·k,2·k). A98574

a(n) = ∑_{k=0..floor(2·n/7)} binomial(2·n-5·k,2·k). A392398

Smallest m such that the period of the continued fraction of sqrt(m) is A215485(n); records of A013646. A215508

a(1)=1, a(n)=3·a(n-1) if n is not a multiple of 3, or a(n)=a(n/3)+1 if n is a multiple of 3. A82561