8335
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10008
- Proper Divisor Sum (Aliquot Sum)
- 1673
- 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
- 6664
- Möbius Function
- 1
- Radical
- 8335
- 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
- 114
- 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
- Concatenate n-th prime and n-th composite.at n=22A038530
- Numerators of continued fraction convergents to sqrt(687).at n=5A042320
- a(n) is the number of forests with n nodes of rooted unlabeled identity trees.at n=14A052843
- 4th column of number array A083075.at n=9A083079
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=34A098936
- a(n) = A108466(A025487).at n=32A108467
- Diagonal sums of correlation triangle for (1+x)^3/(1-x).at n=41A115294
- Number of slim perfect graphs on n nodes.at n=7A123905
- Number of different strings of length n+4 obtained from "123...n" by iteratively duplicating any substring.at n=16A137741
- Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.at n=23A156225
- Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.at n=25A156225
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=|x-y|+|y-z|.at n=23A212575
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.at n=22A267829
- Numbers k such that A264097(k) = A264098(k), so : A264097(k)*2^k-1 and A264098(k)*2^k+1 are twin primes.at n=18A282428
- Numbers whose trajectories under the map x -> A230625(x) never reach a prime.at n=37A288847
- a(n) = 2^(n+1) + n^2 - 1.at n=12A290707
- Maximum value of the cyclic convolution of the first n positive integers with themselves.at n=29A294172
- Number of partitions of n^3 into distinct cubes > 1.at n=41A298848
- Number of non-isomorphic connected graphs on n vertices with representation number 2.at n=7A319489
- Number of parts in all twice partitions of n where the first partition is strict.at n=12A327607