Properties of the Number 5176

Five Thousand One Hundred Seventy-Six

Basics

Value: 5175 → 5176 → 5177

Parity: even

Prime: No

Previous Prime: 5171

Next Prime: 5179

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 647

Divisors: 1, 2, 4, 8, 647, 1294, 2588, 5176

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000111000

Octal: 12070

Duodecimal: 2BB4

Hexadecimal: 1438

Square: 26790976

Square Root: 71.9444229944198

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

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

a(n) = n*(n²+3·n-1)/3. A84990

Number of non-graphical integer partitions of 2n. A339617

Number of length n words on alphabet {0,1} such that the length of every maximal block of 0's (runs) is the same. A243815

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order. A205226

Number of nonnegative integer 2 X 2 matrices with no zero rows or columns and with sum of elements equal to n, up to row and column permutation. A54974

The PDO(n) function (Partitions with Designated summands in which all parts are Odd): the sum of products of multiplicities of parts in all partitions of n into odd parts. A102186

Number of subsets of {1..n} containing n such that some element can be written as a positive linear combination of the others. A365042

A(n, k) is the k-th number b > 1 such that b^prime(n+i-1) == 1 (mod prime(n+i)²) for each i = 0..3, with k running over the positive integers; square array, read by antidiagonals, downwards. A319061

Cycle lengths obtained by repeated application of the distance-minimizing variant of the strip bijection for the square lattice described in A367150. A367146