Properties of the Number 57072

Fifty-Seven Thousand Seventy-Two

Basics

Value: 57071 → 57072 → 57073

Parity: even

Prime: No

Previous Prime: 57059

Next Prime: 57073

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 29 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111011110000

Octal: 157360

Duodecimal: 29040

Hexadecimal: def0

Square: 3257213184

Square Root: 238.89746754622578

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 nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222608

a(n) = Pell(n)*A034896(n) for n >= 1, with a(0)=1, where A034896 lists the number of solutions to a² + b² + 3·c² + 3·d² = n. A209451

Start of n-th segment of Recamán's sequence R(m) (A005132): values of n where the change in the fractional parts of successive values of R(n)/n is positive. A64492

Third binomial transform of binomial(n+4, 4). A81899

Number of arrays of 5 0..n integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements. A215192

Number of nX2 0..3 arrays with exactly floor(nX2/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222605

Solutions y to the negative Pell equation y² = 72·x² - 288 with x,y >= 0. A281234

a(1) = 1; a(n+1) = ∑_{d∣n, n/d odd} a(d)^n/d. A307780

a(n) = floor(10¹⁰/n). A57072

T(n,k)=Number of arrays of n 0..k integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements. A215190