6091
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6092
- 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
- 6090
- Möbius Function
- -1
- Radical
- 6091
- 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
- 36
- 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
- 795
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=32A015636
- Let q_k = p*(p+2) be product of k-th pair of twin primes; sequence gives values of p+2 such that (q_k)^2 > q_{k-i}*q_{k+i} for all 1 <= i <= k-1.at n=38A021007
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=46A023288
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=31A024826
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes.at n=20A025129
- 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 77.at n=11A031575
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=12A031818
- Lower prime of a difference of 10 between consecutive primes.at n=75A031928
- Primes that do not contain any other prime as a proper substring.at n=38A033274
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=31A043085
- Primes with first digit 6.at n=29A045712
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=25A046012
- Primes that yield a different prime when rotated by 180 degrees.at n=19A048890
- Primes of form 210*p + 1 where p is a prime.at n=8A051648
- First member of a prime triple in a p^2 + p - 1 progression.at n=30A057324
- The primes in A045574.at n=39A057770
- Primes p such that x^29 = 2 has no solution mod p.at n=25A059256
- Primes p = p(k) such that p(k) + p(k+9) = p(k+1) + p(k+8) = p(k+2) + p(k+7) = p(k+3) + p(k+6) = p(k+4) + p(k+5).at n=2A064103
- Numbers k such that A048138(k) is a prime and sets a new record for such primes.at n=26A064440
- Centered 14-gonal numbers.at n=29A069127