11144
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24000
- Proper Divisor Sum (Aliquot Sum)
- 12856
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 2786
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Number of solutions to the rook problem on a 2n X 2n board having a certain symmetry group (see Robinson for details).at n=5A000901
- a(n) = 3^n + 5^n + 6^n.at n=5A001579
- a(0) = 1, a(1) = 2, for n > 1, a(n) = 4*a(n-1) - 2*a(n-2).at n=8A003480
- Number of connected vertex-transitive graphs with n nodes.at n=34A006800
- Partial sums of A011863.at n=14A011888
- Pisot sequence P(2,7): a(0)=2, a(1)=7, thereafter a(n+1) is the nearest integer to a(n)^2/a(n-1).at n=7A020727
- Duplicate of A020727.at n=7A021000
- Numbers whose set of base-10 digits is {1,4}.at n=33A032822
- Number of nonisomorphic circulant graphs, i.e., undirected Cayley graphs for the cyclic group of order n.at n=34A049287
- a(0)=1; a(1)=2; a(n) = a(n-1) + a(n-2)*(3 - (-1)^n)/2.at n=15A062113
- Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n.at n=45A108576
- Multiples of 14 containing a 14 in their decimal representation.at n=31A121034
- Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence.at n=35A167519
- Number of Cayley graphs on n nodes.at n=34A185959
- Expansion of (1+2*x-x^3)/(1-4*x^2+2*x^4).at n=15A217730
- Numbers x such that sigma(x) + sigma(R(x)) = sigma(x + R(x)), where R(x) is the digit reversal of x and sigma(x) is the sum of the divisors of x.at n=16A246487
- Numbers which are divisible by prime(d) for all digits d in their decimal representation.at n=24A256786
- Number A(n,k) of compositions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=63A261780
- Expansion of Product_{k>=1} 1/((1 - x^prime(k))*(1 - x^(prime(k)^2))*(1 - x^(prime(k)^3))).at n=55A280715
- Number of circulant graphs on n vertices up to Cayley isomorphism.at n=34A285620