Properties of the Number 8271

Eight Thousand Two Hundred Seventy-One

Basics

Value: 8270 → 8271 → 8272

Parity: odd

Prime: No

Previous Prime: 8269

Next Prime: 8273

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 919

Divisors: 1, 3, 9, 919, 2757, 8271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001001111

Octal: 20117

Duodecimal: 4953

Hexadecimal: 204f

Square: 68409441

Square Root: 90.9450383473447

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 n with a product greater than n. A114324

Total number of vertices in graph formed by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A331782

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 3 1s. A295253

Array read by antidiagonals: T(n,k) = number of rooted 2-dimensional polyominoes with k cells, the cells being regular n-gons, with no symmetries removed. A94166

Cubes written backwards. A4165

Number T(n,k) of entries in the k-th last blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A286416

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p that are > p/2. A282042

a(0) = 0, a(1) = 1; a(2·n) = 9·a(n), a(2·n+1) = a(n) + a(n+1). A342615

Number of T-frame polyominoes with n cells. A28247

Number of integer partitions of n whose parts do not have weakly decreasing numbers of prime factors (A001222). A358910