12084
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 18156
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 6042
- Omega Function (Ω)
- 5
- 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
- 68
- 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(1) = 2; a(n+1) = a(n)-th composite.at n=34A022450
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=37A066961
- Column 2 of triangle A118032, where column 2 of the matrix square of A118032 forms a bisection of this sequence.at n=15A118035
- Triangle T, read by rows, equal to a diagonal bisection of A118032 such that diagonal n of T equals diagonal 2n+1 of A118032: T(n,k) = A118032(2n+1-k,k); also equals the matrix product of A118032 and SHIFT_UP(A118032).at n=47A118045
- Column 2 of triangle A118045; also equals a bisection of A118035, which is column 2 of A118032.at n=7A118048
- Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.at n=13A165183
- Sum of the numbers already killed in the first jump of a Sieve of Eratosthenes table.at n=25A179628
- Number of -n..n arrays x(0..2) of 3 elements with nonzero sum and with zero through 2 differences all nonzero.at n=11A200166
- Records in A224796.at n=24A224719
- a(n) = smallest k such that prime(n) is the n-th largest divisor of k.at n=15A226326
- Number of partitions of n such that (greatest part) + (least part) <= number of parts.at n=37A237823
- Positive integers n such that n=p+q for some primes p,q with pi(p)*pi(q) = sigma(n).at n=22A273286
- a(n) is the smallest positive integer of length (distance from origin) n in the Cayley graph of the integers generated by all powers of 13.at n=23A297182
- Sum of all the parts in the partitions of n into 6 squarefree parts.at n=38A308903
- Number of nX5 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=13A317738
- Number T(n,k) of permutations p of [n] with no fixed points such that |{ j : |p(j)-j| = 1 }| = k; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows.at n=49A323671
- Numbers k such that the odd part of sigma(sigma(k)) is equal to the odd part of sigma(k).at n=25A353365
- Positions of -2's in A346242.at n=40A354822
- Number of integer partitions of n where the parts have greater mean than the distinct parts.at n=52A360250
- E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^3).at n=5A367079