Properties of the Number 12685

Twelve Thousand Six Hundred Eighty-Five

Basics

Value: 12684 → 12685 → 12686

Parity: odd

Prime: No

Previous Prime: 12671

Next Prime: 12689

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 43 × 59

Divisors: 1, 5, 43, 59, 215, 295, 2537, 12685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110001101

Octal: 30615

Duodecimal: 7411

Hexadecimal: 318d

Square: 160909225

Square Root: 112.62770529492288

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

Number of semi-sums of integer partitions of n. A366738

Numbers k such that prime(k) + prime(k+1) is a square. A64397

Composite numbers k coprime to 13 such that k divides A006190(k-Kronecker(13,k)). A327653

The·member of the positive proper fundamental solution (x = x2(n), y = y2(n)) of the second class for the Pell equation x² - D(n)*y² = +8 for odd D(n) = A263012(n). A264351

Number of compositions of n whose non-adjacent parts are strictly decreasing. A333193

Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap. A28305

Ulam's spiral (SSW spoke). A143838

Odd composite integers m such that A006497(2·m-J(m,13)) == 3·J(m,13) (mod m), where J(m,13) is the Jacobi symbol. A339518

a(n) = (1/3!)*(n³ + 24·n² + 107·n + 90), compare A059604. A59605

Numerators of continued fraction convergents to sqrt(497). A41948