6271
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6272
- 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
- 6270
- Möbius Function
- -1
- Radical
- 6271
- 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
- 111
- 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
- 816
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=43A001136
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=40A001583
- a(n) = smallest number with shortest addition chain of length n.at n=17A003064
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=33A005735
- 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=39A021007
- 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 79.at n=5A031577
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=16A031814
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=38A031901
- Primes that are decimal concatenations of n with n + 9.at n=10A032632
- Lucky numbers that are concatenations of n with n + 9.at n=8A032659
- a(n) = a(n-2) + 2*a(n-3) + a(n-4).at n=17A036605
- Primes p such that both p-2 and 2p-1 are prime.at n=37A038869
- Denominators of continued fraction convergents to sqrt(223).at n=6A041417
- Sqrt[a(n)a(n+1)+1] of A051047.at n=4A051048
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=15A054824
- a(0)=0, a(1)=1, a(n) = smallest prime >= a(n-1) + a(n-2).at n=18A055498
- a(0)=0, a(1)=1, a(n) = smallest prime > a(n-1)+a(n-2).at n=17A055499
- Primes p whose period of reciprocal equals (p-1)/6.at n=39A056211
- Primes p such that x^19 = 2 has no solution mod p.at n=35A059244
- Primes p such that p^7 reversed is also prime.at n=43A059700