Properties of the Number 5728

Five Thousand Seven Hundred Twenty-Eight

Basics

Value: 5727 → 5728 → 5729

Parity: even

Prime: No

Previous Prime: 5717

Next Prime: 5737

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 179

Divisors: 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011001100000

Octal: 13140

Duodecimal: 3394

Hexadecimal: 1660

Square: 32809984

Square Root: 75.68355171369801

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

a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

a(n) is the number of unlabeled graphs on n nodes whose components are unicyclic graphs. A137917

Partial sums of ceiling(n²/2) (A000982). A131941

Number of (directed) Hamiltonian paths in the n-ladder graph. A137882

Numbers k such that φ(x) = k has exactly 10 solutions. A60673

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2. A274728

Sum of the sizes of the Durfee squares of all no-leg partitions of n (or of all no-arm partitions of n). A268188

Least number k such that there are exactly n ways to choose a multiset consisting of a binary index of each binary index of k. A367913

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order. A206238

Sum of the second largest parts of the partitions of n into 8 squarefree parts. A326451