Properties of the Number 5128

Five Thousand One Hundred Twenty-Eight

Basics

Value: 5127 → 5128 → 5129

Parity: even

Prime: No

Previous Prime: 5119

Next Prime: 5147

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 641

Divisors: 1, 2, 4, 8, 641, 1282, 2564, 5128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000001000

Octal: 12010

Duodecimal: 2B74

Hexadecimal: 1408

Square: 26296384

Square Root: 71.61005515987263

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 ways to split an integer partition of n into consecutive subsequences with weakly decreasing sums. A316245

Positive numbers whose product of digits is 5 times their sum. A62382

Positions of 1's in A274640: Greedy Queens on a spiral. Equivalently, positions of 0's in A274641. A273059

Expansion of e.g.f. LambertW( -2·x/(1-x) ) / (-2·x). A352448

Expansion of 1/(1 - x³ - x⁴ - x⁵ + x⁸)². A147851

Irregular triangle read by rows: first row is 1, and the n-th row gives the coefficients in the expansion of (1/2·x)*(1 - 2·x*(1 - x))^{n + 1}*Li(-n, 2·x*(1 - x)), where Li(n, z) is the polylogarithm. A142147

The values within a cycle of length 53 of the map x->A098189(x), sorted. A98191

a(n) is the sum of all pairwise Manhattan distances for optimal towns with n buildings. A193452

G.f.: ∑_n>=0 xⁿ/(1 + xⁿ)ⁿ. A217670

a(n) = sum of all divisors of all positive integers <= prime(n). A244583