Properties of the Number 53724

Fifty-Three Thousand Seven Hundred Twenty-Four

Basics

Value: 53723 → 53724 → 53725

Parity: even

Prime: No

Previous Prime: 53719

Next Prime: 53731

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 ² × 37

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000111011100

Octal: 150734

Duodecimal: 27110

Hexadecimal: d1dc

Square: 2886268176

Square Root: 231.78438256276024

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

G.f. A(x) satisfies A(x) = 1/( 1 - x·A(x)²*(1 + 9·x*A(x))^1/3 ). A372136

a(n) = sum of the squares of the coefficients of xⁿ in x^n-2·k/A(x²)^n-2·k+1, as k varies from 0 to floor(n/2), with a(0)=1, where A(x) is the g.f. of this sequence. A132455

a(n) = (n² + 2*(∑_{j = 1..n} jⁿ)) (mod n³). A219540

Second term of the n-th differences of the prime numbers. A379542

Number of positive integers <= 2ⁿ of form 9 x² + 9 y². A54193

Number of 7-core partitions of n. A53724

a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest unused positive number such that a(n) shares a factor with a(n-1) while the total number of prime terms of the form 4·k + 1 is never less than those of the form 4·k + 3. A382091

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255790