12441
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 7719
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 1
- Radical
- 12441
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Odd integers m such that phi(m) | sigma(m).at n=12A015715
- Numbers k such that sigma(k) = sigma(k+13).at n=7A015883
- Pseudoprimes to base 70.at n=40A020198
- Expansion of 3*(1+2*x-2*x^2)/((1-x)*(1-6*x^2)).at n=9A026551
- a(n) = C(n)*(4*n+1) where C(n) = Catalan numbers (A000108).at n=7A051944
- Partial sums of A050494.at n=7A053367
- Numbers n such that sigma(n)/phi(n) is prime.at n=27A067780
- Numbers n such that sigma(n) = 3*phi(n).at n=6A068391
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is a right integer triangle.at n=20A070136
- Numbers n such that sigma(n) = phi(3n).at n=7A074891
- Numbers k such that both k and 2*k are balanced numbers (A020492).at n=20A076375
- Squarefree balanced numbers (i.e., squarefree members of A020492).at n=29A078557
- Non-palindromic n and its digit reversal have the same sum of prime factors (with repetition).at n=31A085607
- A086487(n)/S where S is the sum of the prime divisors.at n=6A086488
- Eighth column (m=7) of (1,3)-Pascal triangle A095660.at n=8A095663
- Expansion of (1+x*c(x^2))^3/sqrt(1-4*x^2), c(x) the g.f. of A000108.at n=14A107232
- Triangle read by rows: row n contains n terms of the arithmetic progression having first term 1 and common difference 2[n^(n-1)-1]/(n-1).at n=19A111568
- G.f.: A(x) = ( G(x)^5 - G(x^5) - 5*x*((1-x^4)/(1-x))/(1-x^5) )/(25*x^2) where G(x) is the g.f. of A110631.at n=14A111583
- Absolute value of coefficient of term [x^(n-3)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 3. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.at n=8A112459
- Numbers such that sigma(n)^2 is divisible by UnitarySigma(n)*UnitaryPhi(n).at n=38A121556