11664
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
- 3
Divisibility
- Divisor Count
- 35
- Divisor Sum
- 33883
- Proper Divisor Sum (Aliquot Sum)
- 22219
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 10
- 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
- yes
- 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
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=48A000423
- Numbers n such that n / product of digits of n is a square.at n=16A001104
- Number of Twopins positions.at n=20A005685
- a(n) = (prime(n) - 1)^2.at n=28A005722
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=34A005996
- Number of paraffins.at n=15A006009
- Squares formed by concatenating other squares, not ending in 0.at n=17A009404
- a(n) = Product_{i=0..7} floor((n+i)/8).at n=26A009694
- Specific heat coefficients for square lattice spin 5/2 Ising model.at n=26A010114
- Numbers n such that tau(sigma(n))= tau(tau(n)).at n=31A015730
- a(n) = (3*n)^2.at n=36A016766
- a(n) = (4*n)^2.at n=27A016802
- a(n) = (5*n + 3)^2.at n=21A016886
- a(n) = (6*n)^2.at n=18A016910
- a(n) = (7*n + 3)^2.at n=15A017018
- a(n) = (8*n + 4)^2.at n=13A017114
- a(n) = (9*n)^2.at n=12A017162
- a(n) = (10*n + 8)^2.at n=10A017366
- a(n) = (11*n + 9)^2.at n=9A017498
- a(n) = (12*n)^2.at n=9A017522