11799
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 7401
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7128
- Möbius Function
- 0
- Radical
- 1311
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(n + 1)*(n^2 - 3*n + 6)/8.at n=17A004255
- a(n) = (1/12)*(n+5)*(n+1)*n^2.at n=18A014205
- Odd heptagonal numbers (A000566).at n=34A014637
- a(n) = (2*n + 1)*(5*n + 1).at n=34A033571
- a(n) = A050314(2n+1,1): column 1 of triangle.at n=23A050316
- Expansion of 1/(1 - 3*x^2 - x^3).at n=16A052931
- Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 9 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n, s(0) = 1, s(2n) = 3.at n=8A094826
- Duplicate of A004255.at n=18A101357
- Least number d such that 10^n -/+ d form a prime pair.at n=43A115564
- Heptagonal numbers with only odd digits.at n=6A117993
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns of even length (0 <= k < n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=31A121748
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=30A138853
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1111-0100 pattern in any orientation.at n=10A146408
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1111-0100 pattern in any orientation.at n=22A146410
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1111-0100 pattern in any orientation.at n=23A146410
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1000-1000-1000-1111 pattern in any orientation.at n=11A147098
- a(n) = (4*n^3 + n^2 - 3*n)/2.at n=18A172073
- First of two consecutive numbers with at least one 3 in their prime signature.at n=60A176313
- a(n) = a(n-1)+floor(a(n-2)/4) with a(0)=3, a(1)=4.at n=46A182230
- Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p_1, p_2, p_3, p_4} = {-3,0,1,2}, n=3*r+p_i, and define a(-3)=1. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,1,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(2*cos(Pi/9)).at n=55A187495