9964
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 8180
- 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
- 4784
- Möbius Function
- 0
- Radical
- 4982
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 104
- 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
- Infima closed sets in rooted plane trees on n nodes.at n=6A007855
- Arrange the nontrivial binomial coefficients C(m,k) (2 <= k <= m-2) in increasing order; record the positions of the central binomial coefficients.at n=12A022913
- 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+2)/m < s for some integer k.at n=43A024841
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=50A026042
- Number of ways to write the n-th prime as a sum of distinct primes.at n=49A070215
- a(n) = (prime(n)+1)*n.at n=47A083726
- a(n) = (27*n^2 + 9*n + 2)/2.at n=27A093485
- 4-almost primes with semiprime digits (digits 4, 6, 9 only).at n=18A111496
- Triangle T, read by rows, equal to the matrix square of triangle A113084, which satisfies the recurrence: A113084(n,k) = [A113084^3](n-1,k-1) + [A113084^3](n-1,k).at n=18A113088
- Expansion of psi(x^6) / psi(-x) in powers of x where psi() is a Ramanujan theta function.at n=42A132217
- Number of 2-sided strip polypons with n cells.at n=30A151533
- 10^n-9n for n>=1.at n=4A160154
- Numbers k such that sopfr(k + bigomega(k)) = sopfr(k).at n=22A187877
- Number of nonsquare simple squared rectangles of order n up to symmetry.at n=15A220166
- Number of binary strings of length n avoiding the pattern x x x^R (where x^R means reverse of x).at n=51A241903
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=12A248548
- Expansion of f(-x^3)^3 / (f(x)^2 * f(-x^2)) in powers of x where f() is a Ramanujan theta function.at n=14A262151
- Expansion of psi(x^6) / psi(x) in powers of x where psi() is a Ramanujan theta function.at n=42A262160
- Expansion of f(-x, -x^5) * f(x^3, x^5) / f(-x, -x^2)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=21A262987
- Coordination sequence for "reo-e" 3D uniform tiling.at n=47A299281