Properties of the Number 63744

Sixty-Three Thousand Seven Hundred Forty-Four

Basics

Value: 63743 → 63744 → 63745

Parity: even

Prime: No

Previous Prime: 63743

Next Prime: 63761

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 83

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100100000000

Octal: 174400

Duodecimal: 30A80

Hexadecimal: f900

Square: 4063297536

Square Root: 252.475741408952

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 subsets of {1..n} such that it is not possible to choose a different prime factor of each element. A370583

T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal. A232376

Number of subsets of {1..n} containing n such that it is not possible to choose a different prime factor of each element (non-choosable). A370587

Arises in enumerating Huffman codes, compact trees, and sums of unit fractions. A194630

Expansion of 1/(1+2·x²+2·x³). A77968

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 502", based on the 5-celled von Neumann neighborhood. A288767

Expansion of 1/(1+2·x²-2·x³). A77964

a(n) = a(n-1) + a(n-2) + 2 a([n/2]), where a(0) = 1, a(1) = 2, a(2) = 3. A298347

Numbers k such that s(k) = s(k+1), where s(k) is A059975. A327250

Expansion of x³ / ( 1+2·x²+2·x³ ). A123958