8342
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12936
- Proper Divisor Sum (Aliquot Sum)
- 4594
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- -1
- Radical
- 8342
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Number of partitions of n in which no part occurs just once.at n=53A007690
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 90.at n=17A031588
- Composite numbers n such that sigma(n+24) = sigma(n) + 24.at n=15A054983
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=29A118632
- Triangle, read by rows, where T(n,k) = n*T(n-1,k-1) + T(n-1,k-2) for n>0 and k>1, with T(n,0) = T(n-1,n-1) and T(n,1) = n*T(n-1,0) for n>0 and T(0,0) = 1.at n=34A132005
- a(n) is the number of numbers removed in each step of Eratosthenes's sieve for 10!.at n=16A145537
- a(n) = 9*n^2 - 10*n + 3.at n=31A154262
- Numbers n whose square can be represented as a repdigit number in some base less than n.at n=36A158235
- a(n) = Sum_{k=1..n^2} d(k), d(k) = number of divisors of k (A000005).at n=33A175346
- Number of partitions of n containing a clique of size 10.at n=40A183567
- Triangle, read by rows, equal to the matrix cube of triangle A185620.at n=30A185628
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=16A192760
- Number of -3..3 arrays x(0..n-1) of n elements with zero sum and no two consecutive zero elements.at n=5A199525
- T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two consecutive zero elements.at n=33A199530
- Number of -n..n arrays x(0..5) of 6 elements with zero sum and no two consecutive zero elements.at n=2A199533
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209773; see the Formula section.at n=49A209774
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1}.at n=30A209991
- Number of partitions of n containing at least one part m-7 if m is the largest part.at n=31A212547
- Number of (w,x,y,z) with all terms in {0,...,n} and 2w-x=max{w,x,y,z}-min{w,x,y,z}.at n=25A212756
- Number of tilings of a 6 X n rectangle with 2n trominoes of any shape.at n=5A233290