Properties of the Number 572

Five Hundred Seventy-Two

Basics

Value: 571 → 572 → 573

Parity: even

Prime: No

Previous Prime: 571

Next Prime: 577

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 13

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 143

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100

Octal: 1074

Duodecimal: 3B8

Hexadecimal: 23c

Square: 327184

Square Root: 23.916521486202797

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

Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = ∑_j=0..k T(n-1,j). A9766

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Catalan triangle A009766 transposed. A33184

Multiples of 11. A8593

a(n) = n² - 4. A28347

a(n) = 2·binomial(n,3). A7290

Coefficients of the '3rd-order' mock θ function ψ(q). A53251

Fourth convolution of Catalan numbers: a(n) = 4·binomial(2·n+3,n)/(n+4). A2057

Triangle formed from odd-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). Sometimes called Catalan's triangle. A39598

Numbers m such that ∑_k=1..m (<1/2 + k·r> - <k·r>) = 0, where r=sqrt(2) and < > denotes fractional part. A194368