11184
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 29016
- Proper Divisor Sum (Aliquot Sum)
- 17832
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3712
- Möbius Function
- 0
- Radical
- 1398
- Omega Function (Ω)
- 6
- 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
- 68
- 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
- Absolute value of Glaisher's alpha(n).at n=23A002290
- Number of column-strict plane partitions of n.at n=15A005986
- Decimal part of a(n)^(1/4) starts with a 'nine digits' anagram.at n=5A034279
- Binomial transform of A000046 (1, 1, 1, 1, 2, 3, 5, 8, 14, 21, 39, 62, 112, ...).at n=11A054199
- McKay-Thompson series of class 9c for the Monster group.at n=35A058095
- Sum of non-unitary divisors of n!.at n=6A064138
- Euler-Seidel matrix T(k,n) with start sequence e.g.f. 2x/(1+e^(2x)), read by antidiagonals.at n=48A099028
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=35A115176
- Number of free generators of degree n of symmetric polynomials in 6-noncommuting variables.at n=8A124294
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,1 4,1 5,2 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155346
- Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.at n=13A164352
- Primitive integer length of the side of an origin-centered square that contains inside its boundary a point with integer coordinates that is an integer distance from three of the four corners.at n=9A215365
- G.f.: Product_{k>0} (1 - x^k)^4 * (1 - (-x)^k)^8.at n=23A225543
- Number of defective 3-colorings of an n X 3 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.at n=5A229529
- T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.at n=33A229534
- Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.at n=2A229539
- Number of self-inverse permutations p on [n] with displacement of elements restricted by 3: |p(i)-i| <= 3.at n=13A239075
- Least number k >= 0 such that (n!+k)/n is prime.at n=47A245695
- G.f. A(x) satisfies: x = A(x) * (1 + 2*A(x)) * (1 - 3*A(x)).at n=6A250889
- Primitive values n such that the square with opposite corners (0,0) and (n,n) contains a point (x,y) with integer coordinates, with 0 < x,y < n, at an integer distance from three of the four corners.at n=17A260549