Properties of the Number 11686

Eleven Thousand Six Hundred Eighty-Six

Basics

Value: 11685 → 11686 → 11687

Parity: even

Prime: No

Previous Prime: 11681

Next Prime: 11689

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5843

Divisors: 1, 2, 5843, 11686

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110100110

Octal: 26646

Duodecimal: 691A

Hexadecimal: 2da6

Square: 136562596

Square Root: 108.10180387024076

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

T(n,k)=Number of lower triangles of an (n+2k-2)X(n+2k-2) 0..k array with new values introduced in row major order 0..k and no element unequal to more than one horizontal or vertical neighbor. A194778

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k if k <= floor(n/2) otherwise 2*(n-k), and m = 3, read by rows. A157278

Expansion of (1+4·x)/(1-6·x+x²). A54489

Values of n such that n² + 5 is a triangular number (A000217). A276599

Final members of groups in A076105. A76102

Expansion of q^-1/2 * k(q) * (1 - k(q)⁴) * (K(q) / (π/2))⁶ / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions. A225923

The sums of pairs of adjacent terms are the odd palindromic primes in ascending order. A181883

Number of trees with stability index n. A3429

a(1)=1, a(n) = 22·a(n-1) + n. A14907

Sum of median parts of all partitions of n into an odd number of distinct parts. A268359