11033
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 1927
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9280
- Möbius Function
- -1
- Radical
- 11033
- Omega Function (Ω)
- 3
- 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
- 99
- 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
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=37A026103
- a(n) = A026120(2n,n+1).at n=5A026132
- Number of "sorted permutations": permutations that can occur as the output of the sorting procedure described by Knuth.at n=9A027361
- Truncated square pyramid numbers: a(n) = Sum_{k = n..2*n-1} k^2.at n=17A050410
- Numbers n such that phi(n + phi(n)) = sigma(n).at n=17A074874
- Duplicate of A074874.at n=17A074892
- 3-Smith numbers.at n=35A104391
- Quaternary emirpimes.at n=29A114015
- Multiples of 11 containing an 11 in their decimal representation.at n=31A121031
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k DD's (0 <= k <= n-1 for n >= 1).at n=39A128738
- a(n) = Sum_{k=0..floor(n/2)} (n-k)^2.at n=33A129371
- Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 11.at n=8A154083
- a(n+1) -+ a(n) = prime, a(n+1)*a(n) = average of twin prime pairs, a(1)=1, a(2)=6.at n=36A154494
- Numerator of Euler(n, 3/23).at n=3A156912
- a(0)=1, a(1)=0, a(2)=2, a(3)=1, a(n)=a(n-2)+a(n-3)+a(n-4) for n>3.at n=26A167704
- Partial sums of round(Fibonacci(n)/11).at n=24A179111
- Numbers n with property that there is a different number m such that the lunar squares n*n and m*m are the same.at n=20A181319
- Numerator of H(n+4) - H(n), where H(n) = Sum_{k=1..n} 1/k.at n=23A189642
- Constant term in the reduction of the polynomial 1+x+x^2+...+x^n by x^3->x^2+2x+1. See Comments.at n=15A192805
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and no element more than one greater than the previous.at n=33A199848