10659
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 6621
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 1
- Radical
- 10659
- 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
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 11*binomial(2n,n-5)/(n+6).at n=5A000589
- a(n) is the number of Dyck paths of semilength n+6 having its first peak at height n+1.at n=10A005557
- Number of exterior points formed by extending diagonals of n-gon in general position.at n=16A005701
- Coordination sequence for sigma-CrFe, Position Xa.at n=26A009962
- a(n) = floor(C(n,6)/7).at n=22A011797
- Odd integers m such that phi(m) | sigma(m).at n=11A015715
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=38A024844
- Odd numbers to the left of the central elements of the (2,3)-Pascal triangle A029600.at n=44A029612
- Odd numbers to right of central elements of the (3,2)-Pascal triangle A029618.at n=41A029634
- Number of necklaces with 7 black beads and n-7 white beads.at n=16A032192
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+3)/3.at n=29A048092
- Triangle T(n,k), k>=0 and n>=1, read by rows defined by: T(n,k) = (2k+3)*binomial(2n,n-k-1)/(n+k+2).at n=49A050155
- Number of scalars which can be constructed from the Riemann tensor and metric tensor in n dimensions.at n=18A050297
- T(n,7), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 7 black beads and n-7 white beads.at n=16A051172
- A diagonal of A008296.at n=16A059302
- Fourth column (r=3) of FS(3) staircase array A062745.at n=37A062748
- Numbers n such that sigma(n)/phi(n) is prime.at n=25A067780
- Numbers n such that sigma(n) = 3*phi(n).at n=5A068391
- Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(n,0)=A001764(n), a(n,n)=A006013(n), a(n,n-1)=A006629(n-1).at n=31A073147
- Position of first repeat of the opening sequence of length n occurring after the first repeat of the opening sequence of length n-1 in the Kolakoski sequence (A000002).at n=30A074300