Properties of the Number 12943

Twelve Thousand Nine Hundred Forty-Three

Basics

Value: 12942 → 12943 → 12944

Parity: odd

Prime: No

Previous Prime: 12941

Next Prime: 12953

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 43 ²

Divisors: 1, 7, 43, 301, 1849, 12943

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010001111

Octal: 31217

Duodecimal: 75A7

Hexadecimal: 328f

Square: 167521249

Square Root: 113.7673063757774

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

Number of integer partitions of n of even length whose greatest multiplicity is at most half their length. A338914

a(n) = 7·n². A33582

T(n,k) = number of n X k 0..7 arrays with no entry increasing mod 8 by 7 rightwards or downwards, starting with upper left zero. A222462

Bases b where exactly eight primes p with p < b exist such that p is a base-b Wieferich prime. A325884

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k). A386637

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233055

Bases b for which there exists an integer y such that y³ in base b looks like [c,d,c,d] for some base-b digits c, d. A290176

Numbers k such that σ(k) = ψ(k) + ω(k)³. A390252

Smallest integer m such that m² + 1 has exactly n prime factors, counted with multiplicity. A257366