Properties of the Number 68712

Sixty-Eight Thousand Seven Hundred Twelve

Basics

Value: 68711 → 68712 → 68713

Parity: even

Prime: No

Previous Prime: 68711

Next Prime: 68713

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 409

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000110001101000

Octal: 206150

Duodecimal: 33920

Hexadecimal: 10c68

Square: 4721338944

Square Root: 262.12973886989624

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

G.f.: q * ∏_m>=1 (1-q^m)⁸*(1-q^2m)⁸. A2288

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having six times any element equal to the sum of the remaining six. A249319

Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = ∑_k=l..m 2^k * binomial(2·m-2·k, m-k) * binomial(m+k, m) * binomial(k, l). A67001

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k cycles that are either nonincreasing or of length 1 (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) < b(2) < b(3) < ... . A186759

Expansion of q * (φ(q) * ψ(-q))⁸ in powers of q where φ(), ψ() are Ramanujan θ functions. A216711

Coefficients of a polynomial representation of the integral of 1/(x⁴ + 2·a*x² + 1)ⁿ⁺¹ from x = 0 to infinity. A126936

Averages of twin prime pairs that are sums of 5 consecutive averages of twin prime pairs. A160919

Number of length n+6 0..4 arrays with no seven consecutive terms having six times any element equal to the sum of the remaining six. A249315

Number of length 1+6 0..n arrays with no seven consecutive terms having six times any element equal to the sum of the remaining six. A249320

T(n,k) = ∑_j=1..n 2^j*binomial(2·n-2·j, n-j)*binomial(n+j, n)*binomial(j, k), triangle read by rows (n >= 0 and 0 <= k <= n). A335183