Properties of the Number 10685

Ten Thousand Six Hundred Eighty-Five

Basics

Value: 10684 → 10685 → 10686

Parity: odd

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 2137

Divisors: 1, 5, 2137, 10685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110111101

Octal: 24675

Duodecimal: 6225

Hexadecimal: 29bd

Square: 114169225

Square Root: 103.36827366266692

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

Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square. A88319

a(0)=1, a(1)=5; a(n) = 6·a(n-1) + 5·a(n-2) for n > 1. A91928

a(n) = T(n, 2·n-6), T given by A027960. A27968

Number of Dyck paths of semilength n having no UUUU's starting at level 0. A135310

Number of edges in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer·coordinates |x| = 1, 2, ...n. A392427

a(n) = ( A077059(n)² + A077060(n)² )^1/3. A77061

Numbers n with property that A077116(n) is nonzero square. A154101

a(n) = ∑_i=1..n ( ∏_k∣i d(k) ), where d(n) = A000005(n). A237349

Indices of records in A347113. A347308

Related to series-parallel networks. A1572