Properties of the Number 5288

Five Thousand Two Hundred Eighty-Eight

Basics

Value: 5287 → 5288 → 5289

Parity: even

Prime: No

Previous Prime: 5281

Next Prime: 5297

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 661

Divisors: 1, 2, 4, 8, 661, 1322, 2644, 5288

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010101000

Octal: 12250

Duodecimal: 3088

Hexadecimal: 14a8

Square: 27962944

Square Root: 72.71863585079137

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

Total number of parts in all partitions of n plus the sum of largest parts of all partitions of n. A211978

Numbers m such that there are precisely 14 groups of order m. A294155

Number of partitions of n in which no parts are multiples of 6. A219601

Parker's partition triangle T(n,k) read by rows (n >= 1 and 0 <= k <= n-1). A47812

a(n) = (9·n² + 5·n + 2)/2. A64225

Number of Dyck paths of semilength n such that each positive level up to the highest nonempty level has exactly one peak. A287846

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the upper median plus the lower median of every 2 X 2 subblock equal. A237007

Numbers n such that φ(n) = φ(n+8), with Euler's totient function φ=A000010. A179202

Partial sums of A307270. A307276

Sum of the fourth largest parts in the partitions of n into 6 squarefree parts. A308908