Properties of the Number 57963

Fifty-Seven Thousand Nine Hundred Sixty-Three

Basics

Value: 57962 → 57963 → 57964

Parity: odd

Prime: No

Previous Prime: 57947

Next Prime: 57973

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 139 ²

Divisors: 1, 3, 139, 417, 19321, 57963

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110001001101011

Octal: 161153

Duodecimal: 29663

Hexadecimal: e26b

Square: 3359709369

Square Root: 240.75506225207394

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)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array. A219142

T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array. A219441

3p² where p runs through the primes. A79705

Numbers k such that (k+j) mod (2+j) = 1 for j from 0 to 8 and (k+9) mod 11 <> 1. A96026

Total number of smallest parts that are also emergent parts in all partitions of n. A220479

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = 1/2*(5 - sqrt(21)). A221365

Numbers of the form p²*q, with odd primes p > q, such that q divides p-1. A350638

Number of strings of numbers x(i=1..n) in 0..3 with sum i²*x(i)³ equal to n²*27. A184312

Unchanging value maps: number of 3Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 3Xn array. A219144

Triangle T(n,k) of number of minimal 2-covers of a labeled n-set that cover k points of that set uniquely (k=2,..,n). A57963