Properties of the Number 18897

Eighteen Thousand Eight Hundred Ninety-Seven

Basics

Value: 18896 → 18897 → 18898

Parity: odd

Prime: No

Previous Prime: 18869

Next Prime: 18899

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 6299

Divisors: 1, 3, 6299, 18897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100111010001

Octal: 44721

Duodecimal: AB29

Hexadecimal: 49d1

Square: 357096609

Square Root: 137.46635952115702

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 non-Look-and-Say partitions of n. Number of integer partitions of n such that there is no way to choose a disjoint strict integer partition of each multiplicity. A351293

a(n) = ∑_i=0..n digsum₅(i)⁴, where digsum₅(i) = A053824(i). A231671

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316801

Numbers k such that both k and k+2 are de Polignac numbers (A006285). A330284

O.g.f.: exp( Integral ∑_n>=1 n! * n^n-1 * x^n-1 / ∏_k=1..n (1 - k·x) dx ). A243440

Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs. A255998

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A272740

Number of permutations of [n] avoiding {4312, 1432, 1234}. A294766

Number of nX5 0..1 arrays with every element unequal to 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316798

Number of nX7 0..1 arrays with every element unequal to 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316800