Properties of the Number 8851

Eight Thousand Eight Hundred Fifty-One

Basics

Value: 8850 → 8851 → 8852

Parity: odd

Prime: No

Previous Prime: 8849

Next Prime: 8861

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 53 × 167

Divisors: 1, 53, 167, 8851

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10001010010011

Octal: 21223

Duodecimal: 5157

Hexadecimal: 2293

Square: 78340201

Square Root: 94.07975340103735

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 partitions of 5n with equal number of parts congruent to each of 0, 1, 2, 3 and 4 (mod 5). A46776

Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n. A114166

Number of configurations of the 6 X 2 variant of the so-called "Sam Loyd" sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90167

Compound filter (summands of A004001 & summands of A005185): a(n) = P(A286541(n), A286559(n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = a(2) = 0. A286560

G.f. A(x) satisfies A(x) = 1 + x * ((1 - x) / A(x))^5/2. A366435

Numbers k such that sopfr(k + sopfr(k)) = sopfr(k) + sopfr(sopfr(k)), where sopfr = A001414. A376851

The least number with exactly n ones in the continued fraction of its square root. A206578

Four-column table read by rows: number of nonisomorphic systems of catafusenes in an example (see Cyvin et al. (1994) for precise definition). A121178

Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is a part. A241442

Triangle interpolating the binomial transform of the swinging factorial (A163865) with the swinging factorial (A056040). A163840