Properties of the Number 12993

Twelve Thousand Nine Hundred Ninety-Three

Basics

Value: 12992 → 12993 → 12994

Parity: odd

Prime: No

Previous Prime: 12983

Next Prime: 13001

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 61 × 71

Divisors: 1, 3, 61, 71, 183, 213, 4331, 12993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011000001

Octal: 31301

Duodecimal: 7629

Hexadecimal: 32c1

Square: 168818049

Square Root: 113.98684134583254

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

Partial sums of A000009 (partitions into distinct parts). A36469

a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes. A66509

Number of pairs of integer partitions (y, v) of n such that there exists a pair of set partitions of {1,...,n} with meet {{1},...,{n}}, the first having block sizes y and the second v. A318396

Fundamental discriminants of real quadratic number fields with class number 10. A218160

Centered 32-gonal numbers. A195315

Expansion of ∏_k=1..10 (1+x^2·k-1)/(1-x^2·k). A316722

a(n) = 104·n + 9977. A126978

E.g.f. exp(3x)/(1-4x). A97819

a(n) = 9·n² - 3. A157872

Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4. A79094