Properties of the Number 57564

Fifty-Seven Thousand Five Hundred Sixty-Four

Basics

Value: 57563 → 57564 → 57565

Parity: even

Prime: No

Previous Prime: 57559

Next Prime: 57571

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 13 × 41

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000011011100

Octal: 160334

Duodecimal: 29390

Hexadecimal: e0dc

Square: 3313614096

Square Root: 239.92498827758646

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

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1 <= k <= m positions can be picked in an m X m square grid such that the picked positions have a line symmetry. A291718

Number of esters with n carbon atoms up to structural isomerism. A632

Numbers n such that n * (x-1)/x produces a rotation of the digits in n for some value of x. A288626

Length of row n in A347317. A347318

a(n) = a(n-1) XOR ∑_k=1..n-1 a(k), with a(1)=1, a(2)=3, where XOR is the binary exclusive OR operation. A99811

G.f.: A(x) = ∑_n>=0 xⁿ * ∏_d∣n (1 + x^d)^n/d. A193200

Coefficient of·in the minimal polynomial of the continued fraction [1ⁿ,sqrt(2)+sqrt(3),1,1,...], where 1ⁿ means n ones. A266808

Natural numbers n for which the following three properties hold: (i) φ[σ[n]]=2*φ(n), (ii) σ[n-2]=2*σ[φ[n-2]], (iii) σ[n+2]=2*σ[φ[n+2]]. A57564

Number of nX5 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s. A296125