Properties of the Number 12838

Twelve Thousand Eight Hundred Thirty-Eight

Basics

Value: 12837 → 12838 → 12839

Parity: even

Prime: No

Previous Prime: 12829

Next Prime: 12841

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 ² × 131

Divisors: 1, 2, 7, 14, 49, 98, 131, 262, 917, 1834

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001000100110

Octal: 31046

Duodecimal: 751A

Hexadecimal: 3226

Square: 164814244

Square Root: 113.30489839367051

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) = (-n³ + 9n² - 5n + 3)/3. A161702

a(n) = (3·n - 1)*(4·n - 1). A33578

A simple grammar: number of cycles of cycles. A52809

Number of compositions of n where the smallest part is greater than or equal to the number of parts. A98131

Number of solutions to the Diophantine equation x1·x2 + x2·x3 + x3·x4 + x4·x5 + x5·x6 = n, with all ξ >= 1. A191832

G.f.: A(x) = 1 + ∑_n>=1 x^n² * ((1-x)ⁿ + 1/(1-x)ⁿ). A197707

G.f. A(x) satisfies: A(x)³ = A(x³) + 9·x. A107090

G.f. A(x) satisfies: A(x) = A(x³)^1/3 + 9·x. A107091

Numbers k whose decimal expansion can be split into at least two parts whose binary equivalents can be concatenated (in the same order) to form the binary expansion of the original number k. A237041

a(0) = a(1) = 1; a(n) = [xⁿ] ∏_k=1..n-1 (1 + x^a(k))/(1 - x^a(k)). A296387