Properties of the Number 33047

Thirty-Three Thousand Forty-Seven

Basics

Value: 33046 → 33047 → 33048

Parity: odd

Prime: No

Previous Prime: 33037

Next Prime: 33049

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 4721

Divisors: 1, 7, 4721, 33047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000100010111

Octal: 100427

Duodecimal: 1715B

Hexadecimal: 8117

Square: 1092104209

Square Root: 181.78833845986932

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

Basis for code in A075928. A75929

a(n) = ∑_d∣n (n/d)^d * binomial(d+n/d-1, d). A338662

Complete list of numbers that take three steps to collapse to a single digit in base 3 (written in base 10). A253057

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, -1, 1, 1. A25258

Number of loops of length 4n on square grid that turn at each step and return to start in original direction. A644

Numbers n such that 101101·10ⁿ + 1 is prime. A106745

Multiplicity of highest weight (or singular) vectors associated with character chi₆₆ of Monster module. A34454

Sums of distinct powers of 11. A33047

Number of (n+1) X (5+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250895

Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and with no two consecutive decreases. A263679