Properties of the Number 5733

Five Thousand Seven Hundred Thirty-Three

Basics

Value: 5732 → 5733 → 5734

Parity: odd

Prime: No

Previous Prime: 5717

Next Prime: 5737

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 13

Divisors: 1, 3, 7, 9, 13, 21, 39, 49, 63, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100101

Octal: 13145

Duodecimal: 3399

Hexadecimal: 1665

Square: 32867289

Square Root: 75.71657678474378

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 read by rows: T(k,s) = ((2·k+1)/(2·s+1))*binomial(k+s,2·s), 0 <= s <= k. A111125

Numbers k for which nontrivial positive magic squares of exactly 8 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125015

3 times 11-gonal (or hendecagonal) numbers: a(n) = 3·n*(9·n-7)/2. A153783

Expansion of (1+x)/(1-x)¹². A57788

Triangle R, read by rows, where column k of R equals column 0 of P^2k+1 where P=A135880. A135894

Square spiral of sums of selected preceding terms, starting at 1. A141481

Restricted combinations. A6500

13 times the squares: a(n) = 13·n². A152742

Triangular array read by rows: row n shows the coefficients of the polynomial p(x,n) constructed as in Comments; these polynomials form a strong divisibility sequence. A327321

Coefficients of Chebyshev polynomials. A5583