Properties of the Number 57030

Fifty-Seven Thousand Thirty

Basics

Value: 57029 → 57030 → 57031

Parity: even

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 1901

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1901, 3802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101111011000110

Octal: 157306

Duodecimal: 29006

Hexadecimal: dec6

Square: 3252420900

Square Root: 238.8095475478315

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 length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo k+1. A269678

Number of (n+2) X 6 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202443

Sum of first n squares of semiprimes. A217736

Number of length-n 0..4 arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo 4+1. A269674

Number of length-7 0..n arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo n+1. A269682

Let P(n) of a sequence s(1),s(2),s(3),... be obtained by leaving s(1),...,s(n-1) fixed and reversing every n consecutive terms thereafter; apply P(2) to 1,2,3,... to get PS(2), then apply P(3) to PS(2) to get PS(3), then apply P(4) to PS(3), etc. The limit of PS(n) is A057030. A57030

Number of 2-factors in P₈ X P_n. A145417

O.g.f.: exp( Integral ∑_n>=1 (2·n)! * x^n-1 / ∏_k=1..2·n (1 - k·x) dx ). A243509