Properties of the Number 5271

Five Thousand Two Hundred Seventy-One

Basics

Value: 5270 → 5271 → 5272

Parity: odd

Prime: No

Previous Prime: 5261

Next Prime: 5273

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 251

Divisors: 1, 3, 7, 21, 251, 753, 1757, 5271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010010111

Octal: 12227

Duodecimal: 3073

Hexadecimal: 1497

Square: 27783441

Square Root: 72.60165287374662

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

Numbers that are the sum of 10 positive 7th powers. A3377

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Number of integer partitions of n of whose permutations do not all have distinct runs. A351203

a(n) is the conjectured highest power of n which has no four identical digits in succession. A216065

27-gonal numbers: a(n) = n*(25·n-23)/2. A255186

Integer averages of the set of the first positive squares up to some n². A164576

Number of compositions (ordered partitions) of n into proper divisors of n. A294138

Integers of the form 8k+7 that can be written as a sum of four distinct 'almost consecutive' squares. A243577

Integers of the form 8k + 7 that can be written as a sum of four distinct squares of the form m, m + 1, m + 3, m + 5, where m == 2 (mod 4). A243580

G.f. A(x) satisfies A(x) = 1/((1 - x·A(x)³) * (1 - x·A(x))³). A379188