Properties of the Number 52744

Fifty-Two Thousand Seven Hundred Forty-Four

Basics

Value: 52743 → 52744 → 52745

Parity: even

Prime: No

Previous Prime: 52733

Next Prime: 52747

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 19 × 347

Divisors: 1, 2, 4, 8, 19, 38, 76, 152, 347, 694

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000001000

Octal: 147010

Duodecimal: 26634

Hexadecimal: ce08

Square: 2781929536

Square Root: 229.6606191753388

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 k such that 2·7^k - 1 is prime. A2959

Number of compositions of n such that the number of parts and the greatest part are not coprime. A199887

Number of (w,x,y) with all terms in {0,...,n} and |w-x| ≠ |x-y|. A212960

Numbers n such that φ(n) = σ(n) - σ(n+1). A63943

a(n) = 2ⁿ + n·3ⁿ. A86090

Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234877

Number of partitions of n into at most 1² copy of 1, 2² copies of 2, 3² copies of 3, ... . A303944

G.f. 1-(2·x³)/(-sqrt(-3·x⁴-4·x³-2·x²+1)-x²+1). A247162

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234882

E.g.f. x*(1-2·x-2·x²-sqrt(1-4·x-4·x²))/ (2*(1+x)²). A52744