Properties of the Number 83730

Eighty-Three Thousand Seven Hundred Thirty

Basics

Value: 83729 → 83730 → 83731

Parity: even

Prime: No

Previous Prime: 83719

Next Prime: 83737

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 2791

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 2791, 5582

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011100010010

Octal: 243422

Duodecimal: 40556

Hexadecimal: 14712

Square: 7010712900

Square Root: 289.3613657695166

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 k such that the difference between k-th prime and next prime is 70. A116493

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood. A285818

Number of partitions of n² into factorial parts. A197182

a(n) = n*(3·n² + 3·n + 1). A249354

Numbers k such that A144264(k) = A144264(k+1). A144359

Number of 7-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187512

Number of solutions to 1⁴*k₁ + 2⁴*k₂ + ... + n⁴*k_n = 1, where k_i are from {-1,0,1}, i=1..n. A369714

Greatest prime² factor of n, or a(n)=1 for squarefree n. A83730