Properties of the Number 89799

Eighty-Nine Thousand Seven Hundred Ninety-Nine

Basics

Value: 89798 → 89799 → 89800

Parity: odd

Prime: No

Previous Prime: 89797

Next Prime: 89809

Digit Sum: 42

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 809

Divisors: 1, 3, 37, 111, 809, 2427, 29933, 89799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111011000111

Octal: 257307

Duodecimal: 43B73

Hexadecimal: 15ec7

Square: 8063860401

Square Root: 299.66481274917817

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 different strings of length n+4 obtained from "123...n" by iteratively duplicating any substring. A137741

G.f. satisfies A(x) = 1 + x·A(x·A(x·A(x))). A87959

Numbers that require exactly 8 iterations to determine that they are happy or not (A007770 and A031177). A193996

Number of nX7 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A298186

a(n) is the sum of all possible pairs of the first n primes. A162867

Related to enumeration of sets of non-intersecting circles in the plane. A281345

Expansion of Jacobi θ function theta₂(q^1/2)/q^1/8. A89799

Number of nX4 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A304054