Properties of the Number 47617

Forty-Seven Thousand Six Hundred Seventeen

Basics

Value: 47616 → 47617 → 47618

Parity: odd

Prime: No

Previous Prime: 47609

Next Prime: 47623

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 17 × 2801

Divisors: 1, 17, 2801, 47617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000000001

Octal: 135001

Duodecimal: 23681

Hexadecimal: ba01

Square: 2267378689

Square Root: 218.2131985009156

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 built from partial sums of Catalan numbers multiplied by powers of nonpositive numbers. A112707

Convolution of A052701 (Catalan numbers multiplied by powers of 2) with powers of -1. A64306

G.f. satisfies: A(x) = (1 + x + x²) * A(x²)⁴. A237648

Number of nonnegative integer matrices with total sum n, nonzero rows and distinct columns each with the same sum with columns in decreasing lexicographic order. A331395

Strong pseudoprimes to base 24. A20250

Number of cubic graphs on 2n unlabeled nodes whose connected components are vertex-transitive. A241167

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 145", based on the 5-celled von Neumann neighborhood. A270287

Numbers that are congruent to {2, 5} mod 8. A47617

a(n) = 1 if the 2-adic and 3-adic valuations of A025487(n) are equal, 0 otherwise. A330682