17886
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 6
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 39168
- Proper Divisor Sum (Aliquot Sum)
- 21282
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5400
- Möbius Function
- 1
- Radical
- 17886
- Omega Function (Ω)
- 4
- 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
- 154
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = n*(n^2 + 12*n - 25)/6.at n=44A026057
- Numbers with multiplicative persistence value 6.at n=17A046515
- A000041(n) - A000203(n).at n=35A086738
- a(n) is the number of terms in the expansion of (x+y-z)*(x^2+y^2-z^2)*(x^3+y^3-z^3)*...*(x^n+y^n-z^n).at n=18A086817
- Number of partitions of n having no parts equal to the size of their Durfee squares.at n=44A118199
- Fourth right hand column of triangle A165674.at n=14A165676
- a(n) = A030068(4n+1).at n=47A169739
- Composite numbers whose multiplicative persistence is 6.at n=16A199996
- Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p.at n=39A241552
- Number of integers in n-th generation of tree T(1/3) defined in Comments.at n=40A274143
- Triangle read by rows, T(n,m) = Sum_{k=1..m} k*k!*(-1)^(m+k)*Stirling2(m,k)* C(2*n+k-2*m-1,n-m)/(n+k-m), for n >= 0 and 0 <= m <= n.at n=59A298753
- a(1) = 1; a(n+1) = Sum_{d|n} sigma(n/d)*a(d), where sigma = sum of divisors (A000203).at n=34A307817
- (1/8) * number of ways to select 3 distinct points forming a triangle of unsigned area = 1 from a square of grid points with side length n.at n=18A320544
- Triangle read by rows: T(n,k) is the number of parking functions of length n with k strict descents. T(n,k) for n >= 1 and 0 <= k <= n-1.at n=22A333829
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n] Product_{j=0..n} (1 + (k*n+j)*x).at n=39A382347