Properties of the Number 6653

Six Thousand Six Hundred Fifty-Three

Basics

Value: 6652 → 6653 → 6654

Parity: odd

Prime: Yes

Previous Prime: 6637

Next Prime: 6659

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 6653

Divisors: 1, 6653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111111101

Octal: 14775

Duodecimal: 3A25

Hexadecimal: 19fd

Square: 44262409

Square Root: 81.5659242576212

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338. A146360

Class 5+ primes (for definition see A005105). A81633

Primes of the form k² + k + 11. A48059

Numbers k such that (17^k + 1)/18 is a prime. A57183

Minimal number (in decimal representation) with n nonprime substrings in base-9 representation (substrings with leading zeros are considered to be nonprime). A217109

Numbers k such that the concatenation of k with k-4 gives a square. A115432

Class 6- primes (for definition see A005109). A81425

p, p+6 and p+8 are all primes (A046138) but p+2 is not. A49438

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. A301823

Sequence S such that 1 is in S and if·is in S, then 6x-1 and 6x+1 are in S. A147993