11296
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22302
- Proper Divisor Sum (Aliquot Sum)
- 11006
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- 0
- Radical
- 706
- Omega Function (Ω)
- 6
- 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
- 130
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=24A031551
- Multiplicity of highest weight (or singular) vectors associated with character chi_20 of Monster module.at n=39A034408
- Period of the continued fraction for sqrt(2^n-1).at n=33A059866
- Triangle read by rows giving numbers of paths in a lattice satisfying certain conditions.at n=62A071944
- Numbers that can be represented as j^4 + k^4, with 0 < j < k, in exactly one way.at n=41A088687
- Triangle in A071944 with rows reversed.at n=58A108074
- Dimension of 4-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 4 variables which are killed by all symmetric differential operators (where for a monomial w, d_{xi} ( w ) = sum over all subwords of w deleting xi once).at n=7A122393
- Half the number of nXnXn triangular binary arrays with every element unequal to at most 4 neighbors.at n=4A192500
- Number of 4X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 4 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=27A192703
- Triangle read by rows: T(n,k) = Sum_{i <= n, j <= k, (i,j) <> (n,k)} T(i,j), starting with T(1,1) = 1, for n >= 1 and 1 <= k <= n.at n=25A192933
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-6.at n=3A211909
- T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-k-1.at n=31A211910
- O.g.f.: Sum_{n>=0} n^n * (3*n+1)^(n-1) * exp(-n*(3*n+1)*x) * x^n / n!.at n=4A217911
- a(n) = 2*n^4 - floor(2^(1/4)*n)^4.at n=14A257854
- Limiting reverse row of the array A274193.at n=36A274200
- Indices of primes in A027998.at n=27A285224
- Partitions with designated summands in which no parts are multiples of 3.at n=27A293569
- Numbers that are the sum of two positive fourth powers in exactly one way.at n=49A344187
- Number of partitions of n into 6 or more parts.at n=28A347542
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * Sum_{j=0..n} (-k)^(n-j) * binomial(j+k,j)/(n-j)!.at n=61A383341