11035
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13248
- Proper Divisor Sum (Aliquot Sum)
- 2213
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8824
- Möbius Function
- 1
- Radical
- 11035
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=42A002122
- a(n) = round(n*phi^16), where phi is the golden ratio, A001622.at n=5A004951
- a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.at n=5A004971
- Number of factorization patterns of polynomials of degree n over F_5.at n=19A006170
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 21.at n=4A031699
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= sqrt(n).at n=35A048095
- Average of four successive primes squared, (prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2)/4, n>=2.at n=24A075894
- Square root of sum of successive primes in n-th group in A077280.at n=5A077281
- Odd terms of A059756.at n=8A111042
- A054525 * A156348 * [1,2,3,...].at n=49A156833
- a(n) = 441n^2 + 2n.at n=4A158321
- Cyclops semiprimes.at n=34A160725
- A triangle sequence derived from setting an Euler numbers A122045 generalization equal to the Eulerian numbers A008292 to get a generating function expansion: p(x,t) = ((-1 + exp(x)) (-1 + x)/(-1 + exp(t*x) + t - exp(t)* x)).at n=46A178232
- 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=22A181319
- The number of tilings of a 9 X (2n) floor with 2 X 3 hexominoes.at n=13A236584
- Numbers k such that (26*10^k - 119)/3 is prime.at n=22A274238
- Semiprimes whose binary and ternary representations are prime when read in decimal.at n=15A279052
- a(n) = 5*Lucas(n).at n=16A280154
- Expansion of 1/(1 - Sum_{j>=1} x^(Sum_{i=1..j} prime(i))).at n=43A282906
- Numbers n whose Zeckendorf representation is of the form ww, for w a nonempty block of digits.at n=54A286710