Properties of the Number 10485

Ten Thousand Four Hundred Eighty-Five

Basics

Value: 10484 → 10485 → 10486

Parity: odd

Prime: No

Previous Prime: 10477

Next Prime: 10487

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 233

Divisors: 1, 3, 5, 9, 15, 45, 233, 699, 1165, 2097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100011110101

Octal: 24365

Duodecimal: 6099

Hexadecimal: 28f5

Square: 109935225

Square Root: 102.39628899525607

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) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s. A296834

Numbers that are the sum of five third powers in ten or more ways. A345187

Numbers that are the sum of five third powers in exactly ten ways. A345188

Number of partitions of n-set in which number of blocks of size 2k-1 is odd (or zero) for every k. A130223

a(n) = 1 + ∑_k=2..n (-1)^k * k² * a(floor(n/k)). A361983

Numbers m such that (15m-4, 15m-2, 15m+2, 15m+4) is a prime quadruple. A112540

Expansion of (1 + x)*(1 - x + x²)/((1 - x)⁴*(1 + x + x²)). A70333

Inverse binomial transform of the number of overpartitions (A015128). A294499