6711
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8952
- Proper Divisor Sum (Aliquot Sum)
- 2241
- 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
- 4472
- Möbius Function
- 1
- Radical
- 6711
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 93
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Triangular numbers written backwards.at n=48A004158
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=4A007995
- Expansion of log(1+tan(x))/cos(x).at n=7A009372
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LIO = Liottite (Ca,Na2,K2)9[Al18Si18O72] starting with a T3 atom.at n=5A019029
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=31A025001
- 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 27.at n=32A031525
- Number of partitions satisfying 0 < cn(0,5) + cn(2,5) + cn(3,5).at n=31A039899
- Sum of solutions of phi(x) = 2^n.at n=8A058214
- Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10.at n=33A058760
- Numbers k that, when expressed in base 6 and then interpreted in base 9, give a multiple of k.at n=13A062939
- a(1) = 1 and then least squarefree number such that every partial concatenation of 2 or more terms is a prime.at n=41A086475
- Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25).at n=40A102724
- Semiprimes (A001358) whose digit reversal is a triangular number.at n=29A115741
- Start with 1 and repeatedly reverse the digits and add 50 to get the next term.at n=28A118147
- Semiprimes which are the sum of two pentagonal numbers (A000326) in exactly two different ways.at n=34A120536
- Triangle read by rows: T(n,k), 0 <= k <= n, gives the coefficients of the Charlier polynomials (with parameter a=1), ordered by rising powers.at n=37A137338
- a(n) = (7*n^2 - 17*n + 12)/2.at n=44A140065
- Antidiagonal sums of A163280.at n=21A163983
- Floor-Sqrt transform of large central Delannoy numbers (A001850).at n=11A192674
- Number of partitions of n such that the number of parts and the largest part and the smallest part are pairwise coprime.at n=33A201218