Properties of the Number 10572

Ten Thousand Five Hundred Seventy-Two

Basics

Value: 10571 → 10572 → 10573

Parity: even

Prime: No

Previous Prime: 10567

Next Prime: 10589

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 881

Divisors: 1, 2, 3, 4, 6, 12, 881, 1762, 2643, 3524

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101001100

Octal: 24514

Duodecimal: 6150

Hexadecimal: 294c

Square: 111767184

Square Root: 102.82023147221562

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

Numbers k such that 2^k - 3 is prime. A50414

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281653

a(n) is the index of the smallest triangular number containing exactly n 8's. A48363

T(n,k)=1/6 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock containing all three values. A183603

Triangle read by rows: Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2k. A227715

Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2. A1397

G.f. A(x) satisfies: A(A(x)) = 3·A(x) - 2·x - x² with A(0)=0. A138739

a(n) = (n+1)*(n⁴-4·n³+11·n²-8·n+12)/12. A302612

O.g.f.: ∑_n>=0 nⁿ*(n+3)ⁿ * exp(-n*(n+3)*x) * xⁿ / n!. A222077

Expansion of (1+x)c(x²)/((1-xc(x²))*sqrt(1-4x²)), c(x) the g.f. of A000108. A117186