16744
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 23576
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 4186
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 128
- Smith Number
- yes
- 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
- Coefficients of Chebyshev polynomials.at n=11A005584
- Table read by rows: list of even numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=34A029617
- Even numbers to left of central elements of the (3,2)-Pascal triangle A029618.at n=35A029631
- Even numbers to the left of the central elements of the (1,2)-Pascal triangle A029635.at n=36A029647
- Even numbers to the right of the central numbers of the (2,1)-Pascal triangle A029653.at n=33A029661
- Number of partitions of n into parts not of the form 19k, 19k+7 or 19k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=37A035976
- Number of multigraphs with loops on 3 nodes with n edges.at n=23A050531
- Expansion of (1+x)/(1-x)^12.at n=6A057788
- Numbers k such that phi(k)+sigma(k) is a perfect cube.at n=9A061366
- Numbers n such that sum of cubes of even digits of n equals sum of cubes of odd digits of n.at n=8A076165
- Delete first column (index 0) and all rows having nonprime index of triangle T(p,k) defined in A034807 (coefficients of Lucas polynomials). Sequence gives resulting sub-triangle read by rows.at n=40A096539
- Total number of parts in all compositions of n into distinct odd parts.at n=41A097936
- Final term in the rows of triangle A130454: a(n) = A130454(n,(n+1)(n+2)/2 - 1).at n=7A130455
- Main diagonal of triangle A131823: a(n) = A131823(n,n) for n>=0.at n=9A131824
- G.f. satisfies: A(x) = 1 + x*A(x)^4/A(-x)^4.at n=6A143557
- Dirichlet inverse of Ramanujan's L-series (A000594).at n=6A181104
- Number of n X 5 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=32A201501
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>=0.at n=16A211612
- Number of (w,x,y,z) with all terms in {1,...,n} and median<mean.at n=14A212135
- a(n) = 1*2 + 3*4 + 5*6 + 7*8 + 9*10 + 11*12 + 13*14 + ... + (up to n).at n=45A228958