Properties of the Number 13409

Thirteen Thousand Four Hundred Nine

Basics

Value: 13408 → 13409 → 13410

Parity: odd

Prime: No

Previous Prime: 13399

Next Prime: 13411

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 11 × 23 × 53

Divisors: 1, 11, 23, 53, 253, 583, 1219, 13409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001100001

Octal: 32141

Duodecimal: 7915

Hexadecimal: 3461

Square: 179801281

Square Root: 115.79723658188048

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

One of the two successive approximations up to 7ⁿ for the 7-adic integer sqrt(-5). These are the numbers congruent to 4 mod 7 (except for the initial 0). A290809

Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers). A70193

a(n) = 104·n + 9977. A126978

a(n) = A266196(A000079(n)); indices of powers of 2 in A266195. A266186

a(n) = (2·n³ + 5·n² - 7·n)/2. A162261

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood. A285827

a(n) = n*(n + 1)*(7·n + 5)/6. A304993

Expansion of ∑_k>0 x^3·k/(1+x^k)⁴. A363617

Numbers k such that k + σ(k) + φ(k) is a square. A116009

Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| ≠ w+x+y. A213485