11088
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 38688
- Proper Divisor Sum (Aliquot Sum)
- 27600
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Expansion of 1/((1+x)*(1-x)^7).at n=12A001769
- a(n) = 4*(2n+1)!/n!^2.at n=5A002011
- Bisection of A002470.at n=18A002287
- Glaisher's function W(n).at n=36A002470
- Triangle T(n,k) of rencontres numbers (number of permutations of n elements with k fixed points).at n=60A008290
- Triangle of rencontres numbers.at n=41A008291
- a(n+1) = a(n)/n if n|a(n) else a(n)*n, a(1) = 1.at n=11A008336
- Theta series of D_7 lattice.at n=7A008429
- Theta series of {D_7}^{+} packing.at n=56A008435
- Number of ways of writing n as a sum of 7 squares.at n=14A008451
- Positive integers k such that k-th triangular number is palindromic.at n=22A008509
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).at n=24A011933
- cosh(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+11088/8!*x^8...at n=4A012349
- cosh(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+11088/8!*x^8...at n=4A012441
- Perimeters of more than one primitive Pythagorean triangle.at n=16A024408
- a(n) = (n+1)*binomial(n+1,6).at n=6A027766
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=35A032246
- Numbers whose set of base-15 digits is {3,4}.at n=20A032839
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=6A036458
- Numbers k such that phi(k) is equal to A008473(k).at n=10A039779