8324
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
- 6
- Divisor Sum
- 14574
- Proper Divisor Sum (Aliquot Sum)
- 6250
- 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
- 4160
- Möbius Function
- 0
- Radical
- 4162
- Omega Function (Ω)
- 3
- 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
- 65
- 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
- Symmetries in unrooted 3-trees on n+1 vertices.at n=15A003612
- Powers of cube root of 15 rounded up.at n=10A018020
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=34A026103
- Sum of the lengths of the cycle types of the permutation created by length sorting on the partitions of n.at n=31A036056
- Number of triples {i,j,k}, i>1, j>1, k>1, such that i*j*k < n^3.at n=12A037092
- Values of A038007 not ending in 6 or 8.at n=11A038009
- Triangle of numbers relating two sequences A073155 and A073156.at n=32A073153
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=32A073735
- "Orders" where balanced prime number records (A082080) occur.at n=49A096692
- a(n) = 8 - 12*n + 5*n^2.at n=41A145995
- a(n) = 225*n - 1.at n=36A158227
- Antidiagonal sums of A147995 and A163545.at n=20A163484
- Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=45A164754
- The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {2,3,4} for all i from 1 to n-1.at n=12A174704
- E.g.f.: exp((1+x)^(1+x)-1).at n=7A211193
- n - (sum of prime factors of n) is a positive square.at n=39A216894
- Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26.at n=1A233660
- T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26 (26 maximizes T(1,1)).at n=4A233665
- Permutation of natural numbers: a(n) = A078898(A003961(A003961(A003961(2*n)))).at n=79A249826
- Nonnegative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared.at n=13A257867