Properties of the Number 53053

Fifty-Three Thousand Fifty-Three

Basics

Value: 53052 → 53053 → 53054

Parity: odd

Prime: No

Previous Prime: 53051

Next Prime: 53069

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 11 × 13 × 53

Divisors: 1, 7, 11, 13, 53, 77, 91, 143, 371, 583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100111101

Octal: 147475

Duodecimal: 26851

Hexadecimal: cf3d

Square: 2814620809

Square Root: 230.3323685459775

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 of central factorial numbers 4^k T(2n+1, 2n+1-2k). A8958

Triangle of scaled central factorial numbers, T(n,k) = A008958(n,n-k). A160562

Numbers k such that sopfr(k) = sopfr(k - sopfr(k)). A50781

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood. A286165

Partial sums of A051880. A50406

a(n) = n*(n-1)*(2·n+1)*(2·n-1)*(2·n-3)*(10·n-17)/90. A185375

E.g.f.: S(x,q) = Integral C(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where S(x,q) = ∑_n>=0 ∑_{k=0..n*(n+1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322219

a(n) = n*(n+1)*(7·n² - n - 4)/4. A172077

Consider a number n with m decimal digits. The sequence lists the numbers n having the prefix of length m-1 in the middle of the decimal expansion of prime(n). A242956

Append n-th prime to previous term, reverse alternate terms. A53053