Properties of the Number 80998

Eighty Thousand Nine Hundred Ninety-Eight

Basics

Value: 80997 → 80998 → 80999

Parity: even

Prime: No

Previous Prime: 80989

Next Prime: 81001

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 × 40499

Divisors: 1, 2, 40499, 80998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110001100110

Octal: 236146

Duodecimal: 3AA5A

Hexadecimal: 13c66

Square: 6560676004

Square Root: 284.6014757516201

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

Sum of the largest parts in the partitions of 3n into 3 parts. A236370

Logarithmic derivative of A179500. A179501

Numbers k such that 483·2^k+1 is prime. A320339

a(n) is n's rank among the positive integers in terms of centrality: the fraction of n represented by the average gcd of n and the positive integers, or A018804(n)/n² (cf. A080997). A80998

G.f.: A(x) = exp( ∑_n>=1 [∑_k>=0 a(k)ⁿ* x^k]ⁿ* xⁿ/n ). A179500

G.f. satisfies: A(x) = 1 + x·A(x)³ - 2·x²*A(x)² + x³*A(x). A200030