Properties of the Number 8585

Eight Thousand Five Hundred Eighty-Five

Basics

Value: 8584 → 8585 → 8586

Parity: odd

Prime: No

Previous Prime: 8581

Next Prime: 8597

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 17 × 101

Divisors: 1, 5, 17, 85, 101, 505, 1717, 8585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110001001

Octal: 20611

Duodecimal: 4B75

Hexadecimal: 2189

Square: 73702225

Square Root: 92.65527507918802

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) = n*(2·n² -3·n +7)/6 = C(n, 1) + C(n, 2) + 2·C(n, 3). A81489

5 times pentagonal numbers: 5·n*(3·n-1)/2. A152734

Numbers k such that σ(k+1) - σ(k) = k + 1. A67816

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357

Numbers n that are the product of three distinct odd primes and x² + y² = n has integer solutions. A264498

Numbers k with digits 5 and 8 only. A284381

Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group. A86491

Values of hypotenuse of primitive Pythagorean triples which can have four different shapes (that is, four different sets of "legs"). A159781

A symmetrical triangle T(n, m) = 2·Eulerian(n+1, m) -1, read by rows. A176200

Numbers of the form ((6k+5)²+9)/2 or 2(3k+4)²-9. A214493