Properties of the Number 8605

Eight Thousand Six Hundred Five

Basics

Value: 8604 → 8605 → 8606

Parity: odd

Prime: No

Previous Prime: 8599

Next Prime: 8609

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 1721

Divisors: 1, 5, 1721, 8605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000110011101

Octal: 20635

Duodecimal: 4B91

Hexadecimal: 219d

Square: 74046025

Square Root: 92.76313923105448

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

Coefficient of xⁿ in (∏_m=1..n(1-x^m))ⁿ. A8705

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits. A262759

T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having four times some element equal to the sum of the remaining four. A249656

Number of squares on infinite chessboard at <= n knight's moves from a fixed square. A18836

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

Bisection of A008705. A262308

Sum of cubes of proper divisors of n. A276634

Positive integers that are digitally balanced in more than one integer base b >= 2. A378104

Digitally balanced numbers in both bases 2 and 3. A49361

a(n) = Least i in range [A165583(n),A165583(n+1)] for which abs(A165582(i)) gets the maximum value in that range. A165584