16929
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 29040
- Proper Divisor Sum (Aliquot Sum)
- 12111
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9720
- Möbius Function
- 0
- Radical
- 627
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of compositions of n in which the maximal part is 3.at n=17A000100
- Degrees of irreducible representations of Harada-Norton group HN.at n=9A003915
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=27A031174
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= n/3.at n=27A047197
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-1)/3.at n=27A048009
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n+1)/3.at n=27A048042
- 2nd level triangle related to Eulerian numbers and binomial transforms (triangle of Eulerian numbers is first level and triangle with Z(0,0)=1 and Z(n,k)=0 otherwise is 0th level).at n=32A062253
- a(n) is the (n+1)st (n+2)-gonal number.at n=32A064808
- Numbers k such that sigma(k+1) - sigma(k) = sigma(k)/d(k), where d(k) denotes the number of divisors of k.at n=7A066176
- First card number to reach the top of the deck n times in Guy's shuffle (see A035485).at n=9A080346
- Figurate numbers based on the 24-cell (4-D polytope with Schlaefli symbol {3,4,3}).at n=9A092181
- Number of n-vertex unlabeled oriented graphs without endpoints.at n=6A101389
- Denominators of e.g.f.: -cot(arctanh(x)), odd powers only.at n=26A102065
- Denominators of e.g.f. sec(arccosh(x)) = cosec(arcsinh(x)).at n=26A102074
- Triangle of numbers related to the generalized Catalan sequence C(2;n+1)=A064062(n+1), n>=0.at n=32A113647
- Octuple factorial, 8-factorial, n!8, n!!!!!!!!.at n=27A114800
- Fourth diagonal (M=4) sequence of triangle A113647, called Y(2,1).at n=4A115151
- Partial products of successive terms of A017101; a(0)=1 .at n=4A144756
- Triangle T(n, k) = Product_{j=0..k} (j*n + prime(m)), with T(n, 0) = prime(m) and m = 2, read by rows.at n=39A153270
- Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = Product_{j=1..n} Product_{i=1..j-1} ( 1 - (m+1)*(2*i-1) ) and m = 3, read by rows.at n=16A156698