Properties of the Number 12837

Twelve Thousand Eight Hundred Thirty-Seven

Basics

Value: 12836 → 12837 → 12838

Parity: odd

Prime: No

Previous Prime: 12829

Next Prime: 12841

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 389

Divisors: 1, 3, 11, 33, 389, 1167, 4279, 12837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000100101

Octal: 31045

Duodecimal: 7519

Hexadecimal: 3225

Square: 164788569

Square Root: 113.30048543585328

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) = ∑_k=1..n lcm(n,k). A51193

Antidiagonal sums of square array A082025. A82190

Numbers of the form 68+p² (where p is a prime). A138691

Fourth accumulation array, T, of the natural number array A000027, by antidiagonals. A185509

Number of partitions p of n such that (sum of parts with multiplicity 1) >= (sum of all other parts). A240452

Least positive integer coefficients of power series A(x) such that the coefficients of A(x)² + A(x) - 1 consist entirely of squares. A83352

Expansion of (3 - 5·x - 3·sqrt(x²-6·x+1))/(4·x). A238113

Numbers n such that φ(2n+1) = σ(n). A67229

Triangle read by rows, T(n, k) = ( ( 6 * ∑_j=0..k+1 (-1)^j * binomial(n+1, j) * (k-j+1)ⁿ ) - 4·binomial(n-1, k) ) / 2. A141696

Potential magic constants of 9 X 9 magic squares composed of consecutive primes. A191679