11784
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29520
- Proper Divisor Sum (Aliquot Sum)
- 17736
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3920
- Möbius Function
- 0
- Radical
- 2946
- Omega Function (Ω)
- 5
- 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
- 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
- Convolution triangle of A000129(n) (Pell numbers).at n=47A054456
- Pell numbers A000129(n+1) (without P(0)) convoluted twice with itself.at n=7A054457
- McKay-Thompson series of class 40a for the Monster group.at n=47A112180
- A skew Pell-Pascal triangle.at n=75A112899
- Number of n-node triangulations of the nonorientable surface N_3 in which every node has degree >= 3.at n=2A129049
- Triangle, T(n, k) = coefficients [x^k]( p(x, n) ), where p(x, n) = (1/2)*( (1+x)^n + 2^n*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), read by rows.at n=24A147565
- The bisection A053445(2n+1).at n=27A161921
- Number of 3-step one or two space at a time bishop's tours on an n X n board summed over all starting positions.at n=16A187047
- Record (maximal) gaps between prime triples (p, p+4, p+6).at n=26A201596
- Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 4Xn array.at n=10A219521
- Number of nX5 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=2A221480
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=23A221483
- Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=4A221485
- Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (number of distinct parts of p).at n=37A240306
- Number of compositions of n into distinct parts with exactly four descents.at n=18A241723
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=14A248548
- Product of n and the sum of all divisors of all positive integers <= n.at n=23A256533
- Eulerian numbers of type D, the complementary type.at n=24A262227
- Number of ways to choose three distinct points from a 4 X n grid so that they form an isosceles triangle.at n=42A271913
- Sum T(n,k) of the k-th entries in all cycles of all permutations of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows.at n=25A285793