Properties of the Number 13685

Thirteen Thousand Six Hundred Eighty-Five

Basics

Value: 13684 → 13685 → 13686

Parity: odd

Prime: No

Previous Prime: 13681

Next Prime: 13687

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 × 17 × 23

Divisors: 1, 5, 7, 17, 23, 35, 85, 115, 119, 161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101110101

Octal: 32565

Duodecimal: 7B05

Hexadecimal: 3575

Square: 187279225

Square Root: 116.9829047339824

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Sum of first k numbers in column k of the natural number array A000027; by antidiagonals. A185787

Numbers whose sum of divisors is a fourth power. A19422

Sum of the squared parts of the partitions of n into exactly two parts. A226141

Sum of the squares of the parts in the partitions of n into two distinct parts. A294286

Square array A(n,k) = A341527(A246278(n,k)), read by falling antidiagonals; denominators of the columnwise first quotients of A341605/A341606. A341627

a(n) = ∑_{1 <= i, j <= n} gcd(i, j, n)³. A368743

Sum of numbers in n-th upward diagonal of triangle in A079823. A79824

Coefficient of x⁴ in (1-x-x²)^-n. A6504