Properties of the Number 12953

Twelve Thousand Nine Hundred Fifty-Three

Basics

Value: 12952 → 12953 → 12954

Parity: odd

Prime: Yes

Previous Prime: 12941

Next Prime: 12959

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 12953

Divisors: 1, 12953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010011001

Octal: 31231

Duodecimal: 75B5

Hexadecimal: 3299

Square: 167780209

Square Root: 113.81124724736128

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

Primes p with q(p) + 1 also prime, where q(.) is the strict partition function (A000009). A234530

Father primes of order 8. A136077

Expansion of ∏_k>=1 1/(1 - x^k)^sigma₄(k). A301542

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111. A259427

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823

a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime. A80155

Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6. A119597

Length of row n of the Kolakoski fan A143477. A143586

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

Primes of the form 5·x² - 3·y², where·and y are consecutive numbers. A176470