Properties of the Number 52779

Fifty-Two Thousand Seven Hundred Seventy-Nine

Basics

Value: 52778 → 52779 → 52780

Parity: odd

Prime: No

Previous Prime: 52769

Next Prime: 52783

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 73 × 241

Divisors: 1, 3, 73, 219, 241, 723, 17593, 52779

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111000101011

Octal: 147053

Duodecimal: 26663

Hexadecimal: ce2b

Square: 2785622841

Square Root: 229.7368059323538

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+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal or antidiagonal neighbor. A232257

Numbers k such that 2·k is a partition number. A213179

a(n) = A154798(n)/2. A163288

Number of (n+1) X (2+1) 0..2 arrays with every element both >= and <= some horizontal or antidiagonal neighbor. A232251

Number of (4+1)X(n+1) 0..2 arrays with every element both >= and <= some horizontal or antidiagonal neighbor. A232261

Expansion of e.g.f. exp( x·cos(sqrt(2)*x) ). A381342

Number of nonisomorphic partitions of n on the Ferrers diagram. A95814

Number of permutations of length n which avoid the patterns 1234, 2143, 3421. A116842

Expansion of e.g.f.: (log(1-x))⁶. A52779