Properties of the Number 12992

Twelve Thousand Nine Hundred Ninety-Two

Basics

Value: 12991 → 12992 → 12993

Parity: even

Prime: No

Previous Prime: 12983

Next Prime: 13001

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 7 × 29

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 29, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001011000000

Octal: 31300

Duodecimal: 7628

Hexadecimal: 32c0

Square: 168792064

Square Root: 113.98245479020005

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

a(n) = 2ⁿ*Bell(n). E.g.f.: exp(exp(2·x)-1). A55882

Numbers whose product of prime indices is twice their sum of prime indices. A326151

Number of sums S of distinct positive integers satisfying S <= n. A26906

Products of the 6th power of a prime and 2 distinct primes (p⁶*q·r). A179672

Number of isomorphism classes of non-associative non-commutative anti-associative non-anti-commutative closed binary operations on a set of order n, listed by class size. A79204

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally and vertically. A253820

Numbers which are the sum of their proper divisors containing the digit 4. A59463

a(n) = binomial(2·n,n) mod ((n+1)*(n+2)*(n+3)). A65345

Numbers k such that there are exactly 5 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 5. A327430

Numbers with 28 divisors. A137491

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