11095
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15264
- Proper Divisor Sum (Aliquot Sum)
- 4169
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7584
- Möbius Function
- -1
- Radical
- 11095
- 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
- 55
- 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
- Number of partitions of n with equal number of parts congruent to each of 2 and 3 (mod 5).at n=44A035559
- First differences of A037260.at n=33A037261
- Numbers k such that x^k + x^4 + 1 is irreducible over GF(2).at n=12A057463
- (Product_{i=1..4} (x+i)) / (Product_{i=1..4} (x-i)) = Sum_{n>=1} a(n)/A067419(n)*x^n.at n=3A068180
- a(n) = 2^(n-1)*u(n) where u(1)=1 and u(n) = frac(3/2*u(n-1)) + 1.at n=13A079450
- Engel expansion of exp(e).at n=24A096194
- Least k such that the difference between consecutive 3-almost primes A014612(k) equals n, or 0 if no such k exists.at n=28A131939
- a(n) = Sum_{k=1..n} k*sigma(k).at n=26A143128
- a(n) = n*(9*n+2).at n=35A147296
- G.f. satisfies: A(x) = Sum_{n>=0} x^(n(n+1)/2) * (1 + x*A(x))^n.at n=18A177486
- The Wiener index of the tetrathiafulvalene dendrimer defined pictorially as D[n] in the Shabani reference.at n=0A224463
- a(n) = 6*n^2 + 1.at n=43A227776
- The number of NE partitions of n (see Comments).at n=33A239329
- Number of partitions of n such that (number of distinct parts) = number of 2's.at n=51A239961
- Number of simple connected graphs on n nodes that are non-integral.at n=7A241842
- Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=21A253393
- Numbers k such that (56*10^k + 403)/9 is prime.at n=16A294483
- a(n) is the smallest k >= 0 such that 2^(2^n) + k*2^n + 1 is prime.at n=13A307535
- Indices of primes followed by a gap (distance to next larger prime) of 40.at n=30A320718