8704
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
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 18414
- Proper Divisor Sum (Aliquot Sum)
- 9710
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- 0
- Radical
- 34
- Omega Function (Ω)
- 10
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 21
- 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
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 17 (most significant digit on left).at n=10A029462
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right).at n=26A029512
- 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 45.at n=36A031543
- Every run of digits of n in base 16 has length 2.at n=30A033014
- Theta series for 10-dimensional 4-modular lattice Q10 with minimal norm 4.at n=5A037219
- Triangle read by rows: T(n,k) (n >= 2, 0 <= k <= n) = number of over-all crude totals of unbranched k-5-catapolyheptagons.at n=27A038195
- Positive integers having more base-16 runs of even length than odd.at n=31A044842
- Numbers that are divisible by at least 10 primes (counted with multiplicity).at n=27A046313
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=17A046314
- n is divisible by the 4th power of the number of unitary divisors of n (A034444).at n=34A048170
- a(n)=a(n-1)+a(n-2)-d, where d=a(n/3) if 3 divides n, else d=0; 2 initial terms.at n=21A050193
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=29A060675
- Sum of continued fraction terms in Sum_{k=1..n}(1/k^2).at n=32A061145
- Numbers k such that sigma(phi(k)) is a prime.at n=24A062514
- a(n) = 2*a(n-1) + 4*a(n-2), a(0)=1, a(1)=2.at n=8A063727
- a(n) = 3^n * Sum_{i=1..n} i^3/3^i.at n=6A066999
- Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k.at n=37A070275
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 14 = c are special multiples of 17, x = 17k, where greatest prime factors of factor k were observed from {2, 3, 5}, i.e., it is smaller than 17. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070815 for 254, A070816 for 65534. Gpf = greatest prime factor.at n=30A070814
- Numbers n such that phi(n) = b(n,1)^b(n,0) where b(n,1) is the number of 1's in binary representation of n and b(n,0) the number of 0's.at n=40A071638
- Denominators in the Maclaurin series for arctan(1+x).at n=16A075554