Properties of the Number 83745

Eighty-Three Thousand Seven Hundred Forty-Five

Basics

Value: 83744 → 83745 → 83746

Parity: odd

Prime: No

Previous Prime: 83737

Next Prime: 83761

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1861

Divisors: 1, 3, 5, 9, 15, 45, 1861, 5583, 9305, 16749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011100100001

Octal: 243441

Duodecimal: 40569

Hexadecimal: 14721

Square: 7013225025

Square Root: 289.3872837565604

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 ways to arrange 7 indistinguishable points on an n X n X n triangular grid so that no four points are in the same row or diagonal. A194484

T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no four points are in the same row or diagonal. A194485

Sixth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. A73376

a(1) = 1; if a(n-1) + n is composite or 1 then a(n) = a(n-1) + n, else a(n) = a(n-1) - n. A83745