12342
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28728
- Proper Divisor Sum (Aliquot Sum)
- 16386
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 1122
- 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
- 262
- 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(n) = floor( n*(n+1)*(n+2)*...*(n+6) / (n+(n+1)+(n+2)+...+(n+6)) ).at n=4A032774
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/2.at n=22A047169
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-1)/2.at n=22A047180
- a(n) = n*(n^2 - 6*n + 11)/6.at n=44A050407
- a(n) = A028321(n)/2.at n=44A051473
- (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=32A055435
- Numbers n such that n | 10^n + 9^n + 8^n + 7^n + 6^n.at n=37A057252
- Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^4.at n=41A059358
- Sum of three solutions of the Diophantine equation x^2 - y^2 = z^3.at n=11A085409
- a(n) = n*(n+1)*(n+7)*(122+57*n+n^2)/120.at n=9A101862
- Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation pi is Sum_{k=1..n} (pi(k)-k)^2.at n=42A126972
- a(n) = 7*n^2 + 14*n + 1.at n=41A131878
- Sequence representing valid nontrivial 1-dimensional Hashi (a.k.a. Bridges or Hashiwokakero) puzzle orientations.at n=30A143964
- Second right hand column of the Beta triangle A160480.at n=19A160483
- a(n) = 11*n*(n+1).at n=33A164136
- Right edge of the triangle in A033291.at n=32A192736
- Array of generalized Eulerian numbers C(n,k) read by antidiagonals.at n=50A211235
- Number of triples (w,x,y) with all terms in {0,...,n} and w <= floor((x+y)/3).at n=32A212973
- a(n) = n^2*(n+1)*(3*n+1)/4.at n=11A213827
- Elements of the planar rooted trees sub-operad PRT of TN generated by 01.at n=19A231869