Properties of the Number 18165

Eighteen Thousand One Hundred Sixty-Five

Basics

Value: 18164 → 18165 → 18166

Parity: odd

Prime: No

Previous Prime: 18149

Next Prime: 18169

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 173

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 173, 519

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011011110101

Octal: 43365

Duodecimal: A619

Hexadecimal: 46f5

Square: 329967225

Square Root: 134.77759457714032

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

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. A111045

Number of non-isomorphic multiset partitions of weight n whose incidence matrix has all distinct entries. A321662

a(n) = n*(n + 1)*(n² - 3·n + 6)/8. A4255

Triangle read by rows: T(n,k) is the number of permutations of [n] having k cycles with at most 2 alternating runs (it is assumed that the smallest element of the cycle is in the first position), 0<=k<=n. A187247

a(n) = n*(21·n-17)/2. A226491

Duplicate of A004255. A101357

Antidiagonal sums of the convolution array A213783. A213760

Difference between n-th prime squared and n-th perfect square. A106588

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 323", based on the 5-celled von Neumann neighborhood. A271255

a(n) is the least number k such that there are exactly n pairs (p,q) of primes with p<q such that p+q = 2·k and that 2·k+p, 2·k+q, p·q-2·k and p·q+2·k are primes. A354462