6791
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6792
- 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
- 6790
- Möbius Function
- -1
- Radical
- 6791
- 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
- yes
- 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
- 874
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form 3*k^2 - 3*k + 23.at n=38A007637
- a(n) = F(n+1) + c(n) where F(k) is k-th Fibonacci number and c(n) is n-th non-Fibonacci number.at n=18A022799
- 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=17A031579
- Numbers with exactly five distinct base-9 digits.at n=22A031986
- Positive numbers having the same set of digits in base 8 and base 9.at n=26A037441
- Number of primes between n*100000 and (n+1)*100000.at n=23A038825
- Primes with multiplicative persistence value 5.at n=13A046505
- Number of n-crossing hyperbolic knots having symmetry group D2.at n=15A052416
- Primes p whose reciprocal has period (p-1)/10.at n=10A056215
- Primes p such that p^11 reversed is also prime.at n=28A059704
- Twin primes belonging to packs of three or more twin pairs.at n=35A069467
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=18A079796
- a(n) = Sum_{k=0..n} (-1)^(n-k)*A000041(k).at n=34A087787
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=21A089634
- Duplicate of A056215.at n=10A098677
- For a given unrestricted partition pi, let P(pi)=lambda(pi), if mu(pi)=0. If mu(pi)>0 then let P(pi)=nu(pi), where nu(pi) is the number of parts of pi greater than mu(pi), mu(pi) is the number of ones in pi and lambda(pi) is the largest part of pi.at n=33A100818
- Total number of even blocks in all partitions of n-set.at n=7A102287
- Primes p = prime(k) such that both p+2 and prime(k+5)-2 are prime numbers.at n=27A105412
- Smallest prime dividing the composite near-repdigit number 133...33 consisting of a 1 followed by n 3's, where n=A105427.at n=26A105428
- Primes p such that [p,p+2] is a pair of twin primes and (p*(p+2)-1)/2 is prime.at n=30A109945