6571
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6572
- 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
- 6570
- Möbius Function
- -1
- Radical
- 6571
- 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
- 62
- 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
- 850
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=19A001135
- Numbers that are the sum of 11 positive 8th powers.at n=12A003389
- 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 81.at n=1A031579
- Primes that are concatenations of k with k + 6.at n=8A032629
- Sums of distinct powers of 9.at n=19A033046
- Dirichlet convolution of b_n=1 with c_n=3^(n-1).at n=8A034730
- Positive numbers having the same set of digits in base 2 and base 9.at n=15A037414
- Sums of 3 distinct powers of 9.at n=4A038488
- Numbers having three 1's in base 9.at n=32A043459
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=27A046012
- Least prime in A031924 (lesser of 6-twins) such that the distance to the next 6-twin is 2*n.at n=38A052352
- Primes p such that p^10 reversed is also prime.at n=31A059703
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=30A064396
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (2,6).at n=36A073650
- a(1) = 10; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A074346
- a(n) = 82n^3 - 1228n^2 + 6130n - 5861.at n=8A076808
- Initial terms of rows of A077321.at n=44A077322
- Primes which can be expressed as a sum of distinct powers of 3.at n=32A077717
- Primes which can be expressed as sum of distinct powers of 9.at n=2A077723
- p, p+6 and p+10 are consecutive primes.at n=42A078562