11193
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 7623
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 1
- Radical
- 11193
- 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
- 68
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 7*4^k + 1 is prime.at n=25A002255
- Numbers that are the sum of 9 positive 7th powers.at n=42A003376
- a(0) = 1, a(n) = 31*n^2 + 2 for n>0.at n=19A010020
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=35A011779
- Expansion of 1/((1-x)(1-4x)(1-5x)(1-6x)).at n=4A021744
- 5 x n binary matrices without unit columns up to row and column permutations.at n=6A057969
- Number of divisors of n equals the average of distinct prime factors of n.at n=38A067547
- a(n) = 7*n^2 + 14*n.at n=38A067727
- Smallest nontrivial multiple of n whose nonzero digit product is the same as that of the nonzero digit product of n. By nontrivial one means a(n) is not equal to n or (10^k)*n. 0 if no such number exists.at n=38A087304
- Sixth column (m=5) of (1,6)-Pascal triangle A096956.at n=11A096959
- a(1)=1; a(n+1) = Sum_{k=1..n} a(k) a(floor(n/k)).at n=11A097417
- Triangle read by rows: numbers of isomers of unbranched a-4-catapolydecagons.at n=30A120651
- Numbers of isomers of unbranched a-4-catapolydecagons - see Brunvoll reference for precise definition.at n=5A121144
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, -1, 1), (1, 0, -1), (1, 1, 0)}.at n=8A149285
- 13 times triangular numbers.at n=41A152741
- Indices k such that 4 plus the k-th triangular number is a perfect square.at n=10A154139
- a(n)= n * reversal(n-1) * reversal(n+1).at n=12A160936
- 13 times hexagonal numbers: a(n) = 13*n*(2*n-1).at n=21A194713
- Degrees of irreducible representations of orthogonal group O8-(3).at n=12A214474
- Degrees of irreducible representations of orthogonal group O8-(3).at n=13A214474