Properties of the Number 6353

Six Thousand Three Hundred Fifty-Three

Basics

Value: 6352 → 6353 → 6354

Parity: odd

Prime: Yes

Previous Prime: 6343

Next Prime: 6359

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 6353

Divisors: 1, 6353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011010001

Octal: 14321

Duodecimal: 3815

Hexadecimal: 18d1

Square: 40360609

Square Root: 79.7057087039567

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 congruent to 2 mod 29. A141978

Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit. A215419

Number of ways to split a strict integer partition of n into consecutive subsequences with strictly decreasing sums. A318684

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626]. A78854

Primes such that the sum of the predecessor and successor primes is divisible by 29. A112859

a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74338

Numbers which yield a prime whenever a 3 is prefixed, appended or inserted. A158594

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

Least prime divisor of B(n) which does not divide any B(k) with k < n, or 1 if such a primitive prime divisor of B(n) does not exist, where B(n) is the n-th Bell number given by A000110. A242171

Primes p such that p+6 and p+8 are also primes. A46138