Properties of the Number 18785

Eighteen Thousand Seven Hundred Eighty-Five

Basics

Value: 18784 → 18785 → 18786

Parity: odd

Prime: No

Previous Prime: 18773

Next Prime: 18787

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 13 × 17 ²

Divisors: 1, 5, 13, 17, 65, 85, 221, 289, 1105, 1445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100101100001

Octal: 44541

Duodecimal: AA55

Hexadecimal: 4961

Square: 352876225

Square Root: 137.05838172107534

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

Numbers m that are the hypotenuse of exactly 22 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 22 ways. A97103

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599

Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s. A385232

a(n) = 4ⁿ + n⁴. A1589

Numbers whose square can be represented in exactly three ways as the sum of a positive square and a positive fourth power. A345968

Number of divisors of 240ⁿ. A103532

Numbers that are multiple-digit narcissistic numbers in exactly three bases. A256362

Numbers that are the sum of five fourth powers in three or more ways. A344243