Properties of the Number 73665

Seventy-Three Thousand Six Hundred Sixty-Five

Basics

Value: 73664 → 73665 → 73666

Parity: odd

Prime: No

Previous Prime: 73651

Next Prime: 73673

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1637

Divisors: 1, 3, 5, 9, 15, 45, 1637, 4911, 8185, 14733

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111000001

Octal: 217701

Duodecimal: 36769

Hexadecimal: 11fc1

Square: 5426532225

Square Root: 271.41296947640507

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 unlabeled rooted trees with n vertices whose non-leaf terminal subtrees are all different. A324936

a(2,n) as defined in A003148. A84543

Number of positive integers <= 2ⁿ of form 2 x² + 5 y². A286

Numbers m such that both m²-1 and m² are refactorable numbers (A033950) and that m² has more divisors than m²-1. A342970

a(n)/n! is the average number of key comparisons required to perform an indirect sort of n records with distinct keys using a two-way merge (A. D. Woodall's mergesort). A350568

Rearrangement of even numbers such that a(n) + a(n+1) + 1 and a(n)*a(n+1) + 1 are primes for all n. A73665