Properties of the Number 52743

Fifty-Two Thousand Seven Hundred Forty-Three

Basics

Value: 52742 → 52743 → 52744

Parity: odd

Prime: No

Previous Prime: 52733

Next Prime: 52747

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17581

Divisors: 1, 3, 17581, 52743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000000111

Octal: 147007

Duodecimal: 26633

Hexadecimal: ce07

Square: 2781824049

Square Root: 229.6584420394774

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

Number of partitions of n into an odd number of parts. A27193

One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes. A701

Number of partitions of 2n of type EO (see Comments). A236559

Number of integer partitions of n with reverse-alternating product > 1. A347449

Expansion of (1/x) * Series_Reversion( x * (1-x)² / C(x) ), where C(x) is the g.f. of A000108. A381879

Let b(n) = 2ⁿ with n >= 2, and let c = k·b(n) + 1 for k >= 1; then a(n) is the smallest k such that c is prime and such that A007814(r(n)) = A007814(k) + n where r(n) is the remainder of 2^b(n/4) mod c, or 0 if no such k exists. A298669

E.g.f. ( 1-x-sqrt(1-2·x+x²-4·x³) )/(2·x²). A52743