6728
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13065
- Proper Divisor Sum (Aliquot Sum)
- 6337
- 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
- 3248
- Möbius Function
- 0
- Radical
- 58
- Omega Function (Ω)
- 5
- 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
- 44
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = n + n*(n-1)*(n-2)*(n-3)*(n-4).at n=8A001095
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=30A003405
- Number of domino tilings (or dimer coverings) of a 2n X 2n square.at n=3A004003
- Number of perfect matchings in graph P_{6} X P_{n}.at n=6A028468
- 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 41.at n=18A031539
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 41.at n=1A031719
- Coordination sequence for lattice D*_58 (with edges defined by l_1 norm = 1).at n=2A035814
- Coordination sequence for diamond structure D^+_58. (Edges defined by l_1 norm = 1.)at n=2A035905
- Composite numbers whose prime factors contain no digits other than 2 and 9.at n=29A036313
- Positive numbers having the same set of digits in base 6 and base 9.at n=25A037436
- Number of partitions satisfying 0 < cn(1,5) + cn(2,5) + cn(3,5) and 0 < cn(4,5) + cn(2,5) + cn(3,5).at n=31A039901
- Number of perfect matchings in graph P_{6} x P_{6} x P_{n}.at n=1A049507
- Multiplicity sequence for classification of nonattacking queens on n X n toroidal board.at n=31A054501
- Number of compositions (ordered partitions) of n into 1's, 3's and 5's.at n=21A060961
- Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.at n=39A062923
- Composite k such that sigma(k)-phi(k) is prime.at n=35A067252
- G.f.: (1+x)/Product_{m>0} (1 - x^m).at n=28A084376
- Number of permutations containing exactly one occurrence of the pattern #, with # one of {1-23, 3-21, 12-3, 32-1}.at n=5A092923
- Expansion of eta(q^6) * eta(q^10) / (eta(q) * eta(q^15)) in powers of q.at n=34A094023
- Triangular array read by rows: a(n, k) = sum of number of ordered factorizations of all prime signatures with n total prime factors and k distinct prime factors.at n=29A095705