Properties of the Number 5191

Five Thousand One Hundred Ninety-One

Basics

Value: 5190 → 5191 → 5192

Parity: odd

Prime: No

Previous Prime: 5189

Next Prime: 5197

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 29 × 179

Divisors: 1, 29, 179, 5191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001000111

Octal: 12107

Duodecimal: 3007

Hexadecimal: 1447

Square: 26946481

Square Root: 72.04859471218019

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

Coordination sequence for "ubt" 3D uniform tiling. A299291

Toothpick sequence in the three-dimensional grid. A160160

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from top row to bottom row. A359574

Number of integer partitions of n with parts disjoint from first differences of parts, meaning no part is the difference of two consecutive parts. A363260

Composite numbers whose divisors (except 1) all contain the digit 9. A62680

T(n,k)=Number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*x(i)² zero. A188002

Triangle, read by rows, such that T(n,k) = T(n-1,k-1) + [T²](n-2,k-1) with T(n,0) = T(n,n) = 1 for n>=0, k>=0. A113983

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of tetrahedral numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 3·p-2, where a(i,p) satisfies ∑_i=1..n C(i+2,3)^p = 4·C(n+3,4) * ∑_i=1..3·p-2 a(i,p) * C(n-1,i-1)/(i+3). A87107

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281802

Number of polyforms with n cells on the faces of a triakis icosahedron up to rotation and reflection. A383492