6771
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9424
- Proper Divisor Sum (Aliquot Sum)
- 2653
- 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
- 4320
- Möbius Function
- -1
- Radical
- 6771
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 181
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Juxtapose pairs of primes.at n=9A007795
- 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 54.at n=30A031552
- Numbers with exactly five distinct base-9 digits.at n=10A031986
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=44A036806
- Positive numbers having the same set of digits in base 6 and base 9.at n=29A037436
- Concatenate the n-th and (n+1)st prime.at n=18A045533
- Numbers n such that 73*2^n-1 is prime.at n=8A050562
- Quotients arising from sequence A035014.at n=5A050620
- a(n) = index of the first occurrence of n in A088606.at n=28A088757
- Floor (e^(n / log(n))).at n=28A096181
- Indices of primes in sequence defined by A(0) = 91, A(n) = 10*A(n-1) + 71 for n > 0.at n=10A101016
- Concatenations of pairs of primes that differ by four.at n=6A103195
- Numbers k such that the sum of the digits of k^sigma(k) is divisible by k.at n=15A109658
- Terms of A110566 grouped.at n=63A112811
- Number of partitions of n with a product greater than n.at n=31A114324
- Least common multiple of 3 and n^2+n+1.at n=47A130723
- List of primes with digits grouped into clumps of four. Leading zeros are not printed.at n=8A136420
- a(n) = (5*n-7)*(n-1).at n=37A147874
- Sum of proper divisors minus the number of proper divisors of Fibonacci number A000045(n).at n=20A152990
- G.f.: (21+104*x+103*x^2+23*x^3+x^4)/(1-x)^5.at n=4A160787