Properties of the Number 12653

Twelve Thousand Six Hundred Fifty-Three

Basics

Value: 12652 → 12653 → 12654

Parity: odd

Prime: Yes

Previous Prime: 12647

Next Prime: 12659

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 12653

Divisors: 1, 12653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101101101

Octal: 30555

Duodecimal: 73A5

Hexadecimal: 316d

Square: 160098409

Square Root: 112.48555462813881

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

Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime. A46123

Number of set partitions of [n] with alternating block size parities. A275679

Primes dividing terms of A231830. A362252

Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes. A156116

Balanced primes of order one ending in 3. A303093

Primes of the form 666·k - 1. A63472

First of a run of 4 or more consecutive primes which all equal 2 (mod 3). A185941

Unique terms in sequence A210144. A214196

Lesser of consecutive primes whose average is an oblong number. A242383

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each row and column divisible by 11, read as a base-3 number with top and left being the most significant digits. A263333