11216
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
- 10
- Divisor Sum
- 21762
- Proper Divisor Sum (Aliquot Sum)
- 10546
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5600
- Möbius Function
- 0
- Radical
- 1402
- Omega Function (Ω)
- 5
- 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
- 86
- 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 zeros in character table of symmetric group S_n.at n=14A006907
- [ exp(4/5)*n! ].at n=6A030970
- Record subsequence of b(3k+1), b()=A048142().at n=30A051057
- If n is squarefree then a(n) = Min{k | A070077(k) = n} else 0.at n=41A070078
- Number of 3-noncrossing RNA structures, i.e., the number of 3-noncrossing partial matchings over n vertices and without arcs of length 1.at n=10A133365
- Indices where A138554 requires only squares < floor(sqrt(n))^2.at n=36A138555
- Number of binary strings of length n with no substrings equal to 0001 0110 or 1010.at n=15A164478
- Powers of sqrt(5) - 1 rounded down.at n=43A179241
- Number of nondecreasing arrangements of n+2 numbers in 0..6 with the last equal to 6 and each after the second equal to the sum of one or two of the preceding four.at n=40A189323
- a(n) = 10*a(n-1) + 4*a(n-2), with a(0)=0, a(1)=1.at n=5A190954
- Largest possible side length for a perfect squared square of order n; or 0 if no such square exists.at n=34A217149
- a(n) = floor(4^n/((1+sqrt(5))/2)^(2*n)).at n=22A240523
- Number of partitions of n with difference 10 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=34A242701
- Least integer m > 0 such that pi(m*n) divides prime(m) + prime(n), where pi(x) denotes the number of primes not exceeding x.at n=30A247793
- Number of non-isomorphic T_0 set systems of weight n.at n=13A319559
- Number of distinct means of subsets of {1..n}, where {} has mean 0.at n=48A327474
- a(n) is the number of semi-meanders with n top arches that have at least one arch with length 1 adjacent to the center of the top arch configuration or at either end of the arch configuration.at n=10A333971
- Expansion of (1/x) * Series_Reversion( x / (1 + x + x^4 * (1 + x)^2) ).at n=12A389132
- G.f. A(x) satisfies A(x)^2 = A(3*x - 3*A(x)) / 3.at n=8A389541