Properties of the Number 18116

Eighteen Thousand One Hundred Sixteen

Basics

Value: 18115 → 18116 → 18117

Parity: even

Prime: No

Previous Prime: 18097

Next Prime: 18119

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 647

Divisors: 1, 2, 4, 7, 14, 28, 647, 1294, 2588, 4529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011011000100

Octal: 43304

Duodecimal: A598

Hexadecimal: 46c4

Square: 328189456

Square Root: 134.59569086712992

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 partitions of n such that some part is a sum of two other parts. A237113

Number of planar partitions of n decreasing across rows. A3293

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step patterns 010 or 101, where 1=up and 0=down; triangle T(n,k), n >= 0, k = max(0, n-3), read by rows. A295987

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·6^j}). A373220

E.g.f. satisfies A(x) = exp( x·A(x)/(1 - x·A(x)²) ). A365012

Expansion of f(x³, x⁹) * f(x⁶, x⁶) / f(-x, -x²) in powers of·where f(,) is Ramanujan's general θ function. A257655

Number of binary strings of length n with equal numbers of 01001 and 01101 substrings. A164258

a(n) is the number of sets of distinct four-cuboid combinations that fill an n X n X n cube excluding combinations that contain cube-shaped cuboids. A386756

Expansion of 2·x⁴ / (1 - 11·x + 45·x² - 80·x³ + 49·x⁴). A123960

Number of Motzkin trees that are a "uniquely typable skeleton". A300130