12882
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27360
- Proper Divisor Sum (Aliquot Sum)
- 14478
- 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
- 1
- Radical
- 12882
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = (-1 + prime(n+1)^2)/4.at n=47A024701
- Product of a prime and the following number.at n=29A036690
- Smallest oblong (pronic) number containing exactly n 8's.at n=1A048546
- a(0)=1, a(1)=2, a(n) = a(n-1)*9/2 - Catalan(n-1) where Catalan(n) = binomial(2n,n)/(n+1) = A000108(n).at n=7A067336
- Square array read by antidiagonals: T(n,k)=T(n,k-1)*n^2/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=38A067346
- Squarefree numbers k with largest prime factor = floor(sqrt(k)).at n=19A071311
- Minimal m such that n^n-m and n^n+m are both primes, or -1 if there is no such m.at n=27A075468
- Quotient of LCM of prime(n+1)-1 and prime(n)-1 and GCD of the same two numbers.at n=48A083555
- Fifth diagonal (m=4) of triangle A084938; a(n) = A084938(n+4,n) = (n^4 + 18*n^3 + 131*n^2 + 426*n)/24.at n=19A090386
- Numbers n such that A001414(n) = sum of squared digits of n.at n=22A094908
- a(n) = n*(20 + 15*n + n^2)/6.at n=37A101853
- a(n) =(A001359[n]^2-1)/2.at n=15A117849
- Expansion of f(x, -x^4) / phi(-x^2) in powers of x where f(, ) and phi() are Ramanujan theta functions.at n=51A122135
- a(n) = number of conjugacy classes in PSL_3(prime(n)).at n=29A124679
- Floor((Pentanacci ratio)^n).at n=13A125899
- 6 times pentagonal numbers: a(n) = 3*n*(3*n-1).at n=38A152743
- Smallest k such that p^p -+ k is prime, where p=prime(n).at n=9A157719
- a(n) = (4*n+1)*(4*n+2) = (4*n+2)!/(4*n)!.at n=28A157870
- Number of 6-element nondividing subsets of {1, 2, ..., n}.at n=25A187493
- Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n.at n=28A217390