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Properties of the Number 53038

Fifty-Three Thousand Thirty-Eight

Basics

Value: 53037 → 53038 → 53039

Parity: even

Prime: No

Previous Prime: 53017

Next Prime: 53047

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 23 × 1153

Divisors: 1, 2, 23, 46, 1153, 2306, 26519, 53038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1100111100101110

Octal: 147456

Duodecimal: 2683A

Hexadecimal: cf2e

Square: 2813029444

Square Root: 230.29980460260924

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 compositions of n in which the minimal multiplicity of parts equals 1. A244164
Number of quadrilateral regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles. A324043
T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-k-1. A211963
Number of partitions of 2n whose Ferrers-Young diagram cannot be tiled with dominoes. A304710
a(n) = ∑i=1..n σ(i)*σ(i+1), where σ(n) = A000203(n) is the sum of the divisors of n. A330322
Number of oriented series-parallel networks with n elements and without unit elements in parallel. A339156
Cumulative sum of absolute values of coefficients of q2n in the series expansion of Ramanujan's mock θ function f(q). A109471
Number of 4-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187587
Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-3. A211959
The first (largest) power of 2 arising in the iteration-sequence when A051953 (the cototient function) is repeatedly applied starting with n!. A53038