Properties of the Number 27745

Twenty-Seven Thousand Seven Hundred Forty-Five

Basics

Value: 27744 → 27745 → 27746

Parity: odd

Prime: No

Previous Prime: 27743

Next Prime: 27749

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 31 × 179

Divisors: 1, 5, 31, 155, 179, 895, 5549, 27745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001100001

Octal: 66141

Duodecimal: 14081

Hexadecimal: 6c61

Square: 769785025

Square Root: 166.56830430787244

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 superdiagonal bargraphs with area n. A219282

Expansion of ∏_k>=1 (1 - x^k)^sigma₂(k). A288389

Least positive integer k such that prime(k·n)² - 2 = prime(i·n)*prime(j·n) for some integers 0 < i < j. A260080

a(n) = 24·n² + 1. A158547

a(n) = ∑_y=1..n ∑_x=1..n floor((x^k + y^k)^1/k) with k = 2. A211791

Number of (w,x,y) with all terms in {0,...,n} and max(w,x,y) >= 2·min(w,x,y). A213390

Number of parts in all partitions of n in which no part occurs more than nine times. A320612

Value of n!-r^s in best integer approximation r^s to n! with s >= r. A342849

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood. A272293

Number of permutations of length n which avoid the patterns 2314, 3124, 4312. A116816