Properties of the Number 13985

Thirteen Thousand Nine Hundred Eighty-Five

Basics

Value: 13984 → 13985 → 13986

Parity: odd

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 2797

Divisors: 1, 5, 2797, 13985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011010100001

Octal: 33241

Duodecimal: 8115

Hexadecimal: 36a1

Square: 195580225

Square Root: 118.25819210524064

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

n such that A205592(n) > n. A205594

Least k such that A205592(k) = 2ⁿ. A205596

Expansion of e.g.f. 1 / (1 - ∑_k>=1 p(k)*x^k/k!), where p(k) = number of partitions of k (A000041). A324236

Numbers k such that the continued fraction for sqrt(k) has period 45. A20384

Numbers ending with '5' that are the difference of two positive cubes. A38860

a(n) = (n+5)³ - n³. A38867

Number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors. A186466

Number of (n+1)X9 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186471

E.g.f.: 1 / (1 - x - ∑_k>=2 prime(k-1) * x^k / k!). A346430

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (1, 0, 1), (1, 1, -1)}. A148845