5728
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 5612
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2848
- Möbius Function
- 0
- Radical
- 358
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of partitions into non-integral powers.at n=32A000148
- Related to representation as sums of squares.at n=15A002292
- Number of lines through exactly 6 points of an n X n grid of points.at n=42A018813
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 37.at n=25A031535
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=30A060673
- Consider a (solid) triangle with n cells on each edge, for a total of n(n+1)/2 cells; a(n) is number of inequivalent ways of labeling cells with 0's and 1's; triangle may be rotated and turned over.at n=4A061348
- a(1) = 1; for n>1, a(n) = smallest number that is not a sum or product of any subset of the numbers a(1) to a(n-1).at n=15A065026
- Coordination sequence for octagonal tiling is a(n)*sqrt(2) + A103909(n).at n=26A103908
- Number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers.at n=45A130899
- Partial sums of ceiling(n^2/2) (A000982).at n=32A131941
- a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n^2 if n is odd.at n=31A136047
- Number of (directed) Hamiltonian paths in the n-ladder graph.at n=53A137882
- a(n) is the number of unlabeled graphs on n nodes whose components are unicyclic graphs.at n=12A137917
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 0, 1), (1, 0, -1), (1, 1, 0)}.at n=7A150234
- a(n) = (1+n)*(9 + 11*n + 4*n^2)/3.at n=15A172482
- a(2*n+1) = 1+A131941(2*n+1). a(2*n) = A131941(2*n).at n=31A173809
- Dispersion of (2*floor(n*sqrt(3))), by antidiagonals.at n=38A191542
- Monotonic ordering of nonnegative differences 6^i-2^j, for 40>=i>=0, j>=0.at n=29A192117
- Number of (n+1)X7 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors.at n=8A205070
- Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order.at n=3A206232