Properties of the Number 27045

Twenty-Seven Thousand Forty-Five

Basics

Value: 27044 → 27045 → 27046

Parity: odd

Prime: No

Previous Prime: 27043

Next Prime: 27059

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 601

Divisors: 1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100110100101

Octal: 64645

Duodecimal: 13799

Hexadecimal: 69a5

Square: 731432025

Square Root: 164.45364088398895

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

Solutions y of the Mordell equation y² = x³ - 3a² - 1 for a = 0,1,2, ... (solutions·are given by A053755). A173200

Where the first run of length n occurs in maximally unpredictable sequences A007061, A038219. A201882

a(n)! begins with 2ⁿ. A59449

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1100-0100-0111-0001 pattern in any orientation. A147194

Ulam numbers k such that k/3 is also an Ulam number. A287212

a(n) = ∑_k=n+1..2·n T(n, k), T given by A027023. A27045

a(n) is the least positive integer k such that Mordell's equation y² = x³ - k² has exactly n integer solutions with y >= 0. A392548