Properties of the Number 5247

Five Thousand Two Hundred Forty-Seven

Basics

Value: 5246 → 5247 → 5248

Parity: odd

Prime: No

Previous Prime: 5237

Next Prime: 5261

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 53

Divisors: 1, 3, 9, 11, 33, 53, 99, 159, 477, 583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001111111

Octal: 12177

Duodecimal: 3053

Hexadecimal: 147f

Square: 27531009

Square Root: 72.43617880589781

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 compositions (ordered partitions) of 1 into {1/1, 1/2, 1/3, ..., 1/n}. A38034

Number of terms in discriminant of generic polynomial of degree n. A7878

Partial sums of A002419. A51843

A sequence of asymptotic density ζ(8) - 1, where ζ is the Riemann ζ function. A143034

Number of partitions of n where the difference between consecutive parts is at most 2. A224956

"DHK[ 7 ]" (bracelet, identity, unlabeled, 7 parts) transform of 1,1,1,1,... A32248

a(n) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

Number of locally stable rooted identity trees with n nodes, meaning no branch is a subset of any other branch of the same root. A316474

Ninth column (m=8) of (1,6)-Pascal triangle A096956. A97299

Numbers m such that the largest digit of m³ is 5. A294665