Properties of the Number 13036

Thirteen Thousand Thirty-Six

Basics

Value: 13035 → 13036 → 13037

Parity: even

Prime: No

Previous Prime: 13033

Next Prime: 13037

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 3259

Divisors: 1, 2, 4, 3259, 6518, 13036

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011101100

Octal: 31354

Duodecimal: 7664

Hexadecimal: 32ec

Square: 169937296

Square Root: 114.17530380953667

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

Convolution of Catalan numbers and powers of -1. A32357

Least k for the Theodorus spiral to complete n revolutions. A72895

The 360 degree spoke (or ray) of a hexagonal spiral of Ulam. A244803

a(n) = ∑_k=1..n -A068341(k+1)*a(n-k), a(0)=1. A73777

Eight bishops and one elephant on a 3 X 3 chessboard: a(n)= (3ⁿ⁺¹-Jacobsthal(n+1))-(3ⁿ-Jacobsthal(n)), with Jacobsthal=A001045. A175659

Triangle of coefficients of polynomials u(n,x) jointly generated with A207609; see the Formula section. A207608

Triangle of coefficients of polynomials v(n,x) jointly generated with A210193; see the Formula section. A210194

a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + ∑_j=1..2^m a(j). A139485

Perimeter (rounded down) of a tetraflake-like fractal after n iterations, a(1) = 1 (see comments). A235648

G.f.: ∏_m>0 (1 - x^m + 2!*x^2·m - 3!*x^3·m + 4!*x^4·m - 5!*x^5·m). A293257