Properties of the Number 28585

Twenty-Eight Thousand Five Hundred Eighty-Five

Basics

Value: 28584 → 28585 → 28586

Parity: odd

Prime: No

Previous Prime: 28579

Next Prime: 28591

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 5717

Divisors: 1, 5, 5717, 28585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111110101001

Octal: 67651

Duodecimal: 14661

Hexadecimal: 6fa9

Square: 817102225

Square Root: 169.07099100673656

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

Number of set partitions of [4n] into 4-element subsets {i, i+k, i+2k, i+3k} with 1<=k<=n. A337520

Number of partitions p of n such that (number of numbers in p of form 3k+1) = (number of numbers in p of form 3k+2). A241738

Numbers n such that 17, n, n+1 are the sides of a Heron triangle, i.e., a triangle with integer sides and integer area. A145820

Number of odd-length integer partitions of n with integer mean. A361656

Triangle read by rows: T(n,k) is the number of n-sided cycles with the property that one makes k turns to the right while following its edges. A365094

Numbers k for which there exists m such that the sum from 1 to m and the sum from m + 1 to k are both perfect squares. A388659

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 17. A31605

Expansion of (theta₃(z)*theta₃(4z)+theta₂(z)*theta₂(4z))⁴. A28585