Properties of the Number 47736

Forty-Seven Thousand Seven Hundred Thirty-Six

Basics

Value: 47735 → 47736 → 47737

Parity: even

Prime: No

Previous Prime: 47717

Next Prime: 47737

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 13 × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101001111000

Octal: 135170

Duodecimal: 23760

Hexadecimal: ba78

Square: 2278725696

Square Root: 218.4856974723975

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

E.g.f.: ∑_n>=0 (n·y + xⁿ)ⁿ / n! - ∑_n>=0 nⁿ*yⁿ / n! at y=1. A265270

Numbers with prime factorization p·q*r³*s³ (where p, q, r, s are distinct primes). A190108

Integers y such that for some integer·we have uphi(x) = uphi(y) = x-y, where uphi(n) = A047994(n) is the unitary totient function: If n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1). A67741

Antidiagonal sums of the convolution array A213778. A213780

Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid. A190102

E.g.f.: ∑_n>=1 LambertW(xⁿ)ⁿ / (1 + LambertW(xⁿ)) / n!. A265268

a(n) = 4·n*(n² - 3·n - 1)/3. A275876

a(n) = (n + 1)²*a(n - 2) + a(n - 1), starting 0, 9, .... A335026

Number of score sequences in tournament with n players, when 9 points are awarded in each game. A47736

G.f.: 2C(x)/(3-sqrt(1-4xC(x))) where C = g.f. for A000108. A285195