12192
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
- 24
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 20064
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 762
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- a(n) = 16*a(n-1) - a(n-2) with a(0) = 0, a(1) = 3.at n=4A001080
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=21A002288
- a(n) is the least multiple of n, k*n say, such that phi(k) | sigma(k).at n=47A015756
- Number of lines through exactly 2 points of an n X n grid of points.at n=16A018809
- a(n) = self-convolution of row n of array T given by A026747.at n=7A027223
- 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 55.at n=23A031553
- Denominators of continued fraction convergents to sqrt(7).at n=15A041009
- Trajectory of 22 under the Reverse and Add! operation carried out in base 2.at n=16A061561
- a(n) = 3*n*(4*n-1).at n=32A062783
- Numbers k such that ud(k)*phi(k) = sigma(k), ud(k) = A034444.at n=9A063903
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=27A068540
- Meandric numbers for a river crossing two perpendicular roads at n points, beginning in the (-,-) quadrant and ending in any quadrant.at n=10A076907
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=17A077096
- Balanced refactorable numbers.at n=5A078543
- Numbers k such that 7*k^2 = floor(k*sqrt(7)*ceiling(k*sqrt(7))).at n=7A084069
- a(0)=1; a(n) = sigma_1(n) + sigma_3(n).at n=23A092345
- A104013 in decimal.at n=42A104014
- Numbers n such that sigma(n) = 8*phi(n).at n=8A104901
- A convolution triangle of numbers based on A071356.at n=49A110681
- Expansion of psi(-x^3) / phi(-x) in powers of x where psi(), phi() are Ramanujan theta functions.at n=24A132218