8504
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15960
- Proper Divisor Sum (Aliquot Sum)
- 7456
- 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
- 4248
- Möbius Function
- 0
- Radical
- 2126
- Omega Function (Ω)
- 4
- 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
- 78
- 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
- Number of permutations of {1,...,n} having n-4 inversions (n>=4).at n=7A001894
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=18A028628
- Number of partitions of n into squarefree parts.at n=40A073576
- Number of primes between n^2 and n^3.at n=45A079648
- Even elements of A085493.at n=18A106431
- Total number of parts smaller than the largest part, in all partitions of n.at n=22A116686
- Expansion of 1/(1 - x - x^3 + x^5).at n=43A123552
- Where records occur in A082467.at n=27A129302
- Similar to A137284, but considering Sum{ k = 1,2,3,... } 5^(-nk).at n=23A136275
- Where records occur in A047160.at n=25A155765
- Number of reduced words of length n in the Weyl group A_10.at n=7A161458
- a(1)=2, a(2)=2, a(n)=a(n-2)+floor(a(n-2)*a(n-1)/(a(n-2)+a(n-1))).at n=40A173091
- Partial sums of A004207.at n=45A176718
- Numbers n such that d(1)^1 + d(2)^2 + ... + d(p)^p and d(1)^p + d(2)^p-1 +... + d(p)^1 are squares, where d(i), i=1..p, are the digits of n.at n=19A178360
- a(n) = A188492(n+1) - A188495(n) - A002527(n).at n=10A188496
- Principal diagonal of the convolution array A213841.at n=11A213842
- a(n) = floor(n^2 * log(n)).at n=46A235707
- Mahonian numbers T(n,7) (cf. A008302).at n=6A242657
- Number of length n+5 0..3 arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four.at n=5A249080
- T(n,k) = Number of length n+5 0..k arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four.at n=33A249085