Properties of the Number 8505

Eight Thousand Five Hundred Five

Basics

Value: 8504 → 8505 → 8506

Parity: odd

Prime: No

Previous Prime: 8501

Next Prime: 8513

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 5 × 7

Divisors: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000100111001

Octal: 20471

Duodecimal: 4B09

Hexadecimal: 2139

Square: 72335025

Square Root: 92.22255689363638

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

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

Sextuple factorials, 6-factorials, n!!!!!!, n!6. A85158

Dimensions of representations by Witt vectors. A6973

G.f.: ∏_n>=1 (1 + a(n)*xⁿ/n!) = exp(x). A137852

a(0)=0, a(1)=1, a(2)=1, a(3)=1, a(n) = a(n-3) + a(n-4) for n > 3. A79398

a(n) = -a(n-1) - a(n-2) + a(n-3), a(0)=0, a(1)=0, a(2)=1. A57597

List of different composites in Pascal-like triangles with index of asymmetry y = 2 and index of obliquity z = 0 or z = 1. A141066

Sextuple factorial numbers: a(n) = ∏_k=0..n-1 (6·k+3). A11781

Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186

List giving least odd integer of each prime signature. A147516