Properties of the Number 6561

Six Thousand Five Hundred Sixty-One

Basics

Value: 6560 → 6561 → 6562

Parity: odd

Prime: No

Previous Prime: 6553

Next Prime: 6563

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁸

Divisors: 1, 3, 9, 27, 81, 243, 729, 2187, 6561

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1100110100001

Octal: 14641

Duodecimal: 3969

Hexadecimal: 19a1

Square: 43046721

Square Root: 81

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Powers of 3: a(n) = 3ⁿ. A244

Fourth powers: a(n) = n⁴. A583

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

Powers of 9: a(n) = 9ⁿ. A1019

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

a(2n) = 3ⁿ, a(2n+1) = 2·3ⁿ. A38754

a(n) = max{(n - i)*a(i) : i < n}; a(0) = 1. A792

Diagonal of the array of iterated differences of A047848. A133494