Properties of the Number 52785

Fifty-Two Thousand Seven Hundred Eighty-Five

Basics

Value: 52784 → 52785 → 52786

Parity: odd

Prime: No

Previous Prime: 52783

Next Prime: 52807

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 17 × 23

Divisors: 1, 3, 5, 9, 15, 17, 23, 27, 45, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000110001

Octal: 147061

Duodecimal: 26669

Hexadecimal: ce31

Square: 2786256225

Square Root: 229.7498639825495

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

Partial sums of A299272. A299273

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 2·x + 5. A257615

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p that are < p/2. A282039

Expansion of ∏_k>=1 (1 - x^k)¹⁸. A10824

G.f. A(x) satisfies A(x) = (1 + 9·x*A(x)³)^2/3. A386414

Matrix cube of triangle W = A136231; also equals P⁹, where P = triangle A136220. A136238

(Concatenation of T(n)+1..T(n+1)) mod (concatenation of T(n-1)+1..T(n)), where T(k) is the k-th triangular number, A000217(k). A95222

a(n) = binomial(n,4) - binomial(floor(n/2),4) - binomial(ceiling(n/2),4). A111385

Numbers k such that k and k² use only the digits 2, 5, 6, 7 and 8. A137111

Hyper-Wiener index of a benzenoid consisting of a chain of n hexagons characterized by the encoding s = 1133 (see the Gutman et al. reference, Sec. 5). A193400