8896
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 17780
- Proper Divisor Sum (Aliquot Sum)
- 8884
- 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
- 4416
- Möbius Function
- 0
- Radical
- 278
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 47
- 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
- Expansion of sinh(tan(x)*x).at n=4A009611
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=31A020407
- Expansion of Product_{m>=1} (1+x^m)^3.at n=18A022568
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=47A025200
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=27A028660
- Numbers with 14 divisors.at n=37A030632
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 47.at n=21A031545
- f-perfect numbers, where f(m) = m + 1.at n=4A066229
- Even numbers n such that n^2 is an arithmetic number.at n=37A107924
- Invariants for a hidden action of S_(n+1) on Cayley trees with n vertices.at n=17A115868
- Number of partitions of n with odd crank.at n=36A124228
- Number of base 10 circular n-digit numbers with adjacent digits differing by 1 or less.at n=8A124703
- Triangle read by rows: T(n,k) is the number of binary trees with n edges and k jumps (n >= 0, 0 <= k <= max(0,ceiling(n/2)-1) ).at n=22A127530
- Expansion of (1/3) * (c(q)^2 / c(q^2)) / (b(q)^2 / b(q^2)) in powers of q where b(), c() are cubic AGM theta functions.at n=7A128639
- Expansion of phi(-q^9) / phi(-q) in powers of q where phi() is a Ramanujan theta function.at n=21A128770
- Numbers k whose deficiency is 12: 2k - sigma(k) = 12.at n=4A141549
- Irregular triangle, T(n, k) = [x^k] p(n, x), where p(n, x) = 4*Sum_{j=0..n} A008292(n+1, j) * (x/2)^j * (1-x/2)^(n-j), read by rows.at n=37A147563
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,1 4,2 5,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155311
- a(n) = ((4+sqrt(3))*(1+sqrt(3))^n + (4-sqrt(3))*(1-sqrt(3))^n)/2.at n=8A162559
- a(1)=1, a(2)=3, a(n)=a(n-2)*a(n-1)-a(n-2).at n=8A173093