12924
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
- 18
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 19836
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4296
- Möbius Function
- 0
- Radical
- 2154
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- Magnetization series for face-centered cubic lattice.at n=22A003196
- Number of subtraction steps in n-th interval between special points in Recamán's sequence A005132.at n=17A065055
- Number of possible values of C(v) = the number of valid mountain-valley assignments for a flat-foldable origami vertex v of degree 2n.at n=23A156209
- a(n) = 729*n - 198.at n=17A156772
- A156977/3.at n=9A164565
- Number of reduced 3 X 3 magilatin squares with largest entry n.at n=14A174018
- Triangle T(n,m), [x*A(x)]^m=sum(n>=m T(n,m)*x^n), where A(x) satisfies x*A(x)^3= -(2*x*A(x)^2+sqrt(1-4*x*A(x)^2)-1)/(4*x*A(x)^2+sqrt(1-4*x*A(x)^2)-1).at n=16A188110
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=18A192087
- Express 1 - x - x^2 - x^3 - x^4 - ... as product (1 + g(1)*x) * (1 + g(2)*x^2) *(1 + g(3)*x^3) * ... and use a(n) = - g(n).at n=17A220418
- a(1)=0; thereafter a(n) = A238824(n-1)+A238830(n-1).at n=13A238832
- Number of partitions p of n such that mean(p) < multiplicity(min(p)).at n=38A240203
- Number of ternary palindromes of length 2n+1 having no (7/4)+ powers.at n=42A279625
- a(n) = 2*a(n-1) - a(n-3) + a(floor(n/2)) + a(floor(n/3)) + ... + a(floor(n/n)), where a(0) = 1, a(1) = 2, a(2) = 3.at n=14A298407
- Expansion of Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^(k*(k+1)/2).at n=28A298730
- Row sums of Riordan triangle A319203.at n=19A321204
- a(n) is the largest integer k such that sigma(k)/(d(k)*sopf(k)) = n where d=A000005, sigma=A000203 and sopf=A008472.at n=4A328175
- Number of n-step self-avoiding walks on a 2D square lattice where the walk consists of three different units and each unit cannot be adjacent to another unit of the same type.at n=10A337441
- Numbers k such that the odd part of sigma(sigma(k)) is equal to the odd part of sigma(k).at n=31A353365