Properties of the Number 53024

Fifty-Three Thousand Twenty-Four

Basics

Value: 53023 → 53024 → 53025

Parity: even

Prime: No

Previous Prime: 53017

Next Prime: 53047

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 1657

Divisors: 1, 2, 4, 8, 16, 32, 1657, 3314, 6628, 13256

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100100000

Octal: 147440

Duodecimal: 26828

Hexadecimal: cf20

Square: 2811544576

Square Root: 230.26940743398808

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

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or horizontally. A188763

G.f.: ∑_n>=0 xⁿ * (xⁿ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹, where i² = -1. A323675

a(n) is the number of states that can be achieved when starting from n piles each containing one stone, where any number of stones can be transferred between piles that start with the same number of stones. A292726

Triangle T(n, k, q) = ∑_j=0..10 q^j * floor( binomial(n+1,k)*binomial(n-1,k-1)/(2^j*(n+1)) ) for q = 2, read by rows. A174044

The location of records in A210700. A210701

High temperature series in v = tanh(J/kT) for residual correlation function (correction to susceptibility) for the spin-1/2 Ising model on square lattice. A2907

a(j) = maximum value of n for each distinct increasing value of (Sum of the quadratic non-residues of prime(n) - Sum of the quadratic residues of prime(n)) / prime(n) for each j. A166263

Number of nX4 binary arrays without the pattern 0 0 1 vertically or horizontally. A188758

Number of nX5 binary arrays without the pattern 0 0 1 vertically or horizontally. A188759

a(n) = n·p where p is the next prime >= n. A53024