6277
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6278
- 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
- 6276
- Möbius Function
- -1
- Radical
- 6277
- 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
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 817
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Glaisher's function H'(4n+1) (18 squares version).at n=13A002610
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=11A020402
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=20A023298
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=23A023300
- Exponential (or "EXP") transform of squares A000290.at n=6A033462
- Positive numbers having the same set of digits in base 6 and base 8.at n=41A037435
- Numerators of continued fraction convergents to sqrt(349).at n=5A041660
- Numbers whose base-5 representation contains exactly three 0's and two 2's.at n=20A045186
- Numbers n such that 265*2^n-1 is prime.at n=21A050891
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=18A050968
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=15A054825
- Primes p such that p^5 reversed is also prime.at n=37A059698
- Numbers k such that sigma(k^2+1) is a perfect square.at n=11A067465
- Class 5+ primes (for definition see A005105).at n=28A081633
- For n, k > 0, let T(n, k) be given by T(n, 1) = n and T(n, k+1) = k*T(n, k) + 1. Then a(n) = T(n, n).at n=6A084756
- Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=8A096339
- Primes from merging of 4 successive digits in decimal expansion of e.at n=6A104845
- Least odd prime a(n) such that (a(n)*M(n))^2 + a(n)*M(n) - 1 is prime with M(n) = Mersenne-primes (A000043).at n=14A107709
- Cumulative sum of A000001(n)^A000001(n).at n=13A111101
- Primes such that the sum of the predecessor and successor primes is divisible by 23.at n=36A112847