Properties of the Number 47766

Forty-Seven Thousand Seven Hundred Sixty-Six

Basics

Value: 47765 → 47766 → 47767

Parity: even

Prime: No

Previous Prime: 47743

Next Prime: 47777

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 19 × 419

Divisors: 1, 2, 3, 6, 19, 38, 57, 114, 419, 838

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101010010110

Octal: 135226

Duodecimal: 23786

Hexadecimal: ba96

Square: 2281590756

Square Root: 218.5543410687603

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 integer partitions of n containing three parts (a,b,c) (repeats allowed) such that a + b = c. A variation of sum-full partitions. A363225

Number of planar partitions of n where parts strictly decrease along each row and column. A114736

Number of integer partitions of n with a neighborless part. A356236

a(n) = ∑_{k=0..floor(n/4)} (-1)^k * binomial(n-3·k,k) * Catalan(n-3·k). A360271

a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3),...,a(n-1),a(n)] and [a(n); a(n-1), a(n-2),...,a(2), a(1)]. A58081

a(n) = n*(2·n - 3 - (-1)ⁿ)*(11·n + (-1)ⁿ)/24. A308026

Number of dissectable polyhedra with n tetrahedral cells with symmetry of type N or chiral pairs with symmetry of type O. A47766