6011
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6012
- 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
- 6010
- Möbius Function
- -1
- Radical
- 6011
- 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
- 41
- 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
- 785
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=37A001583
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=36A020393
- Main diagonal of Wythoff array: w(n,n)=[ n*tau ]F(n+1)+(n-1)F(n), where tau=(1+sqrt(5))/2, F(n) = Fibonacci numbers.at n=11A020941
- Fibonacci sequence beginning 3, 8.at n=15A022121
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=37A023253
- Primes of the form k^2 + k + 5.at n=24A027755
- 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=5A031575
- Lower prime of a difference of 18 between consecutive primes.at n=21A031936
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=42A033679
- Main diagonal of the Stolarsky array.at n=11A035489
- Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(0,5) <= cn(2,5) = cn(3,5).at n=10A036881
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=23A043085
- Primes with first digit 6.at n=19A045712
- Primes that yield a different prime when rotated by 180 degrees.at n=18A048890
- Prime number spiral (clockwise, Southeast spoke).at n=14A054564
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=16A054808
- Primes q of the form q = 10p + 1, where p is also prime.at n=26A055781
- The primes in A045574.at n=37A057770
- Primes whose sum of digits is 8.at n=26A062343
- Primes which can be expressed as concatenation of powers of 6 and 0's.at n=9A066597