Properties of the Number 5116

Five Thousand One Hundred Sixteen

Basics

Value: 5115 → 5116 → 5117

Parity: even

Prime: No

Previous Prime: 5113

Next Prime: 5119

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 1279

Divisors: 1, 2, 4, 1279, 2558, 5116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111111100

Octal: 11774

Duodecimal: 2B64

Hexadecimal: 13fc

Square: 26173456

Square Root: 71.52621896899066

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 inseparable partitions of n; see Comments. A325535

Number of rucksack partitions of n: every consecutive constant subsequence has a different sum. A353864

a(n) = 3·a(n-1) + a(n-2), with a(1)=1 and a(2)=4. A3688

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160410

Number of strict integer partitions of n with at least two but not all parts having a common divisor greater than 1. A303140

a(n) = T(4,n), array T given by A048483. A48487

a(n) = (11·n² - 11·n + 2)/2. A69125

a(n) = Sum{k=0..n} T(n,k), T given by A026747. A26754

Square array read by antidiagonals: row m (m >= 1) satisfies b(0) = b(1) = 1; b(n) = m·b(n-1) + b(n-2). A135597

Array read by antidiagonals: T(m,n) is the number of independent sets in the stacked prism graph C_m X P_n. A286513