Properties of the Number 12910

Twelve Thousand Nine Hundred Ten

Basics

Value: 12909 → 12910 → 12911

Parity: even

Prime: No

Previous Prime: 12907

Next Prime: 12911

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 1291

Divisors: 1, 2, 5, 10, 1291, 2582, 6455, 12910

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001001101110

Octal: 31156

Duodecimal: 757A

Hexadecimal: 326e

Square: 166668100

Square Root: 113.6221809331259

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

T(n,k)=Number of nXk 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes. A278385

T(n,k)=Number of nXk binary arrays whose sum with another nXk binary array containing no more than a single 1 has rows and columns in lexicographically nondecreasing order. A225900

Sum of the fifth largest parts in the partitions of n into 7 parts. A308929

a(n) appears in the congruences modulo 4 or 32 of Markoff numbers m(n) = A002559(n) for odd or even m(n). A309376

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A295960

a(n) = number of nonempty subsets S of {1,2,...,n} such that (number of primes in S) <= (number of nonprimes in S). A369781

a(n) = prime(n) + prime(n²). A92504

Total number of parts in all partitions of n² into squares. A229239

Values of A038007 not ending in 6 or 8. A38009

Square array read by antidiagonals: T(n,k)=T(n,k-1)*n²/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67346