11364
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26544
- Proper Divisor Sum (Aliquot Sum)
- 15180
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3784
- Möbius Function
- 0
- Radical
- 5682
- Omega Function (Ω)
- 4
- 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
- 81
- 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
- Molien series for A_6.at n=50A008629
- Powers of sqrt(3) rounded to nearest integer.at n=17A017914
- Powers of sqrt(3) rounded up.at n=17A017915
- Powers of fourth root of 3 rounded to nearest integer.at n=34A018052
- Powers of fourth root of 3 rounded up.at n=34A018053
- T(2n,n), T given by A026692.at n=7A026693
- T(n,[ n/2 ]), T given by A026692.at n=14A026698
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=18A030117
- Triangle of coefficients of generating function of 4-ary rooted trees of height at most n.at n=52A036606
- Number of 4-ary rooted trees with n nodes and height at most 4.at n=21A036609
- Numbers n such that 30*n+7, 30*n+11, 30*n+13, 30*n+17, 30*n+19 are consecutive primes.at n=16A089157
- Number of permutations of length n which avoid the patterns 123, 3142, 4312; or avoid the patterns 123, 3421, 4231.at n=39A116721
- Number of 7 X 7 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.at n=21A156392
- Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 21.at n=3A156476
- G.f.s of the z^p coefficients of the polynomials in the GF3 denominators of A156927.at n=11A157704
- Number of (n+2)X6 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=5A204479
- Number of (n+2)X8 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=3A204481
- Eulerian numbers of the third order.at n=26A217020
- Number of nX2 0..2 arrays with no more than floor(nX2/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=8A222567
- T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=46A222587