12193
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12420
- Proper Divisor Sum (Aliquot Sum)
- 227
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11968
- Möbius Function
- 1
- Radical
- 12193
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=11A020404
- Numbers k such that 2*3^k + 5 is prime.at n=26A057911
- Number of subgroups of index n of the braid group on 3 strands <a,b|aba=bab>= <c,d|c^2=d^3>, the fundamental group of the complement of a trefoil knot.at n=15A061207
- a(n) = p - A072181(n), where p is the least prime > A072181(n) + 1.at n=47A082432
- Semiperimeter of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=14A089549
- Row sums of the triangle A097883.at n=28A098404
- Triangle read by rows: T(n,k) = 2 * A011971(n,k) - 1.at n=38A136791
- n^3 + n-th cubefree number.at n=22A180499
- Union of A071863 and A071861.at n=44A193458
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| + |y-w| < w+x+y.at n=25A213488
- Composite numbers of the form A242490(n) - 1.at n=1A242770
- The 60-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=32A244802
- L(p) modulo p^2, where p = prime(n) and L is a Lucas number (A000032).at n=30A268478
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 337", based on the 5-celled von Neumann neighborhood.at n=25A271287
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(Sum_{j>=1} sigma_k(j) * x^j).at n=40A294296
- a(n) = n! * [x^n] exp(Sum_{k=1..n} sigma_n(k) * x^k).at n=4A294388
- Expansion of Product_{k>=1} (1 - x^k)^q(k), where q(k) = number of partitions of k into distinct parts (A000009).at n=52A304783
- Number of integer partitions of n that cannot be partitioned into two or more blocks with equal sums.at n=39A321451
- Number of compositions (ordered partitions) of n into distinct parts such that number of parts is odd.at n=28A332304
- a(n) = A005117(A390138(n) + 1).at n=14A390241