Properties of the Number 52962

Fifty-Two Thousand Nine Hundred Sixty-Two

Basics

Value: 52961 → 52962 → 52963

Parity: even

Prime: No

Previous Prime: 52957

Next Prime: 52963

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 13 × 97

Divisors: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111011100010

Octal: 147342

Duodecimal: 26796

Hexadecimal: cee2

Square: 2804973444

Square Root: 230.1347431397528

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 (n+2) X (k+2) 0..3 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. A252917

Principal diagonal of the convolution array A213828. A213829

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 278", based on the 5-celled von Neumann neighborhood. A280525

Number of n X 3 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223772

Number of (n+2)X(2+2) 0..3 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. A252914

Number of (2+2)X(n+2) 0..3 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. A252919

Expansion of e.g.f.: sec(tanh(x)+log(x+1))=1+4/2!*x²-6/3!*x³+83/4!*x⁴-460/5!*x⁵... A13127

[ exp(3/11)*n! ]. A30945

Expansion of (1-2x²)/(1-x-3x²+2x⁴). A52962

Numbers k that are the maximum of integers |k3|, |k5|, |k7| with |k3| + |k5| + |k7| > 0, and |k3·sqrt(3) + k5·sqrt(5) + k7·sqrt(7)| is smaller than for any smaller value of k. A379918