Properties of the Number 85905

Eighty-Five Thousand Nine Hundred Five

Basics

Value: 85904 → 85905 → 85906

Parity: odd

Prime: No

Previous Prime: 85903

Next Prime: 85909

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 23 × 83

Divisors: 1, 3, 5, 9, 15, 23, 45, 69, 83, 115

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100111110010001

Octal: 247621

Duodecimal: 41869

Hexadecimal: 14f91

Square: 7379669025

Square Root: 293.0955475608594

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

a(n+1) = ∑_{k=0..floor(n/4)} a(k) * a(n-k). A30034

Coefficient of xⁿ in the expansion of ( (1+x)² * (1+x+x²)³ )ⁿ. A370172

Smith triangular numbers. A98840

Nearest integer to ratio of volume of n-dimensional cube of side 2 to volume of n-dimensional ball of radius 1. A57649

Floor of ratio of volume of n-dimensional cube of side 2 to volume of n-dimensional ball of radius 1. A72168

a(1)=1, a(n) = least odd triangular number which is a proper multiple of a(n-1). A88108

Row sums of triangle A093922. A93925

Triangular numbers for which the sum of the digits is a cube. A117803

Numbers k such that sigma₂(k)*sigma₁(k)/sigma₀(k) is a perfect square. A152218

Numbers that start a run of four consecutive triangular numbers with four distinct prime factors. A349773