9646
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 8498
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 1
- Radical
- 9646
- 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
- 166
- 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
- 4-dimensional analog of centered polygonal numbers.at n=12A006323
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=51A028364
- Concatenate rows of triangle in A028364 (removing duplicates).at n=43A028378
- Position of first occurrence of n in the continued fraction for the Laplace's limit constant.at n=48A033261
- Triangle read by rows: T(n,k) gives number of ways of arranging n chords on a circle with k simple intersections (i.e., no intersections with 3 or more chords) - positive values only.at n=52A067311
- Catalan triangle A028364 with row reversion.at n=48A067323
- Fourth column of triangle A067323.at n=6A067325
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=45A093832
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 21 for n > 0.at n=12A101075
- 4-almost primes with semiprime digits (digits 4, 6, 9 only).at n=17A111496
- Seventh column of triangle A028364.at n=3A116870
- T(n,k)=number of nXk binary matrices with rows in lexicographically nondecreasing order and columns in strictly increasing order.at n=41A180988
- Composite Beatty sequence of sqrt(2).at n=11A182691
- G.f.: (1+x^3)/(1-x-x^6).at n=38A193941
- a(n) = 7*n*(2*n + 1).at n=26A195026
- Expansion of e.g.f. 1 / [ Sum_{n>=0} (-x)^(n*(n+1)/2) / (n*(n+1)/2)! ].at n=7A198891
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of min{i(j+1),j(i+1)} (A203996).at n=48A203997
- A musically inspired Titius-Bode-like sequence based on the geometric division of 4- and 5-dimensional space: Z_(n+1) = 3 * (C(n-1, 0) + C(n-1, 1) + C(n-1, 2) + C(n-1, 3) + C(n-1, 4) + C(n-1, 5)*A059620(n+6)) + 4.at n=18A209257
- Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y<=3z.at n=11A212509
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|+2|y-z|.at n=34A212576