8009
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
- 2
- Divisor Sum
- 8010
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 8008
- Möbius Function
- -1
- Radical
- 8009
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1008
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 - k - 1.at n=44A002327
- Next prime after n^3.at n=20A014220
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEL = ZSM-11 Nan[AlnSi96-nO192] starting with a T7 atom.at n=12A019151
- Poincaré series [or Poincare series] for depths of roots in a certain root system.at n=13A019526
- Numbers k such that the continued fraction for sqrt(k) has period 93.at n=4A020432
- Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(6,66).at n=3A022024
- Upper prime of a difference of 16 between consecutive primes.at n=26A031935
- Primes that do not contain any other prime as a proper substring.at n=43A033274
- Dirichlet convolution of 3^(n-1) with Catalan numbers.at n=8A034755
- Denominators of continued fraction convergents to sqrt(506).at n=4A041967
- Numbers whose base-6 representation has exactly 6 runs.at n=9A043614
- Primes with first digit 8.at n=17A045714
- Triangle read by rows. Same rule as Aitken triangle (A011971) except T(0,0) = 1, T(1,0) = 2.at n=37A046937
- Sequence formed from rows of triangle A046937.at n=30A046938
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p1.at n=15A047976
- Primes of the form p^2 + p - 1 when p is prime.at n=11A053185
- Primes having only {0, 6, 8, 9} as digits.at n=6A053580
- Primes having only 0,4,6,8,9 as digits.at n=20A061372
- Numerator of Sum_{k=1..n} k/phi(k).at n=17A068885
- Smallest prime in which the n-th significant digit is an 8.at n=2A069596