8573
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8574
- 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
- 8572
- Möbius Function
- -1
- Radical
- 8573
- 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
- 171
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1068
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=17A020376
- a(n) = Sum_{k=0..m} (k+1) * A026148(n, k), where m=0 for n=1; m=n+1 for n >= 2.at n=7A027333
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=38A048241
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=16A050966
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=14A052353
- Primes with distinct digits in alphabetical order (in English).at n=33A053435
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=26A063644
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=32A079153
- First column of triangle A082737.at n=46A082739
- Least initial value for an Euclid/Mullin sequence whose 4th term is prime(n). prime(1)=2 is never a fourth term, so offset=2.at n=31A094465
- Table(n,j) of primes p = k*prime(n)#/210-j, where k is the least integer such that p and p+8 are consecutive primes, for n > 4 and j=7 to 1.at n=7A098078
- Beginning with 2, least prime not occurring earlier such that the concatenation of first n terms has the least prime factor prime(n).at n=44A100759
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=23A116886
- Primes of the form 9*k^4 - 204*k^3 + 1777*k^2 - 7038*k + 10729, for k >= 0, listed by increasing k.at n=11A117090
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=41A118632
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=16A119595
- Prime sums of 6 positive 5th powers.at n=17A123035
- Least prime p for which Mertens's function M(p) = n.at n=35A123172
- Prime numbers p such that p = prime(n+4)=(prime(n+8)+prime(n))/2.at n=41A126242
- Primes of the form 5x^2+168y^2.at n=36A139986