16588
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 18692
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 0
- Radical
- 8294
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of lines through exactly 3 points of an n X n grid of points.at n=28A018810
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=35A025100
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 7 of them black.at n=20A032280
- Super-4 Numbers (4 * n^4 contains substring '4444' in its decimal expansion).at n=10A032744
- Molien series for group H_{1,3}^{8} of order 2304.at n=38A051531
- a(n) = binomial(2*n, n) mod ((n+1)*(n+2)*(n+3)*(n+4)).at n=9A065346
- Number of distinct values obtained using n ones and the operations of sum, product and quotient.at n=16A069765
- a(n) = (1/24)*(n+1)*(n+6)*(n^3+26*n^2+225*n+636).at n=8A090948
- Sum of non-Fibonacci numbers between successive Fibonacci numbers: a(n) = Sum_{k=F(n)+1..F(n+1)-1} k.at n=12A109454
- A diagonal of the triangle A128084 of coefficients of q in the q-analog of the even double factorials: a(n) = A128084(n,n).at n=9A128086
- Triangle, read by rows, of coefficients of q^(nk) in the q-analog of the even double factorials: T(n,k) = [q^(nk)] Product_{j=1..n} (1-q^(2j))/(1-q) for n>0, with T(0,0)=1.at n=46A128596
- Number of reduced words of length n in the Weyl group B_9.at n=9A161733
- Even dodecagonal numbers: a(n) = 4*n*(5*n - 2).at n=29A193872
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+497)^2 = y^2.at n=20A207077
- Number of partitions of n containing at least one part m-8 if m is the largest part.at n=34A212548
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| != |x-y|.at n=25A212960
- Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock.at n=3A236635
- Number of (n+1)X(4+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock.at n=0A236638
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock.at n=6A236640
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock.at n=9A236640