Properties of the Number 68409

Sixty-Eight Thousand Four Hundred Nine

Basics

Value: 68408 → 68409 → 68410

Parity: odd

Prime: No

Previous Prime: 68399

Next Prime: 68437

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 691

Divisors: 1, 3, 9, 11, 33, 99, 691, 2073, 6219, 7601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101100111001

Octal: 205471

Duodecimal: 33709

Hexadecimal: 10b39

Square: 4679791281

Square Root: 261.5511422265252

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) = -(-1)ⁿ*2*(2·n+1)!*Bernoulli(2·n)/(n!*2ⁿ). A4193

Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations ∑_j=i..r T(r,j)*A(j,i)*2^-floor((j+3)/2) = 0 if i ≠ r, = (2r+1)!/(r!*2^r) if i = r. A97749

Number of nX5 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero. A297811

a(n) = binomial(binomial(2·n,n),n). A68409