2711
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2712
- 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
- 2710
- Möbius Function
- -1
- Radical
- 2711
- 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
- 115
- 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
- 395
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=26A001126
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=26A002146
- Coordination sequence T3 for Zeolite Code AET.at n=36A008009
- Coordination sequence T1 for Zeolite Code AFY.at n=43A008029
- Coordination sequence T5 for Zeolite Code RSN.at n=35A009889
- Coordination sequence T1 for Zeolite Code RTH.at n=36A009893
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=37A015632
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=37A023250
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=31A024929
- Numbers whose least quadratic nonresidue (A020649) is 7.at n=38A025023
- 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 51.at n=12A031549
- a(n) = prime(10*n - 5).at n=39A031910
- Primes of form x^2 + 94*y^2.at n=18A033204
- Primes of form x^2+31*y^2.at n=59A033221
- Coordination sequence T1 for Zeolite Code AFN.at n=37A038403
- Primes corresponding to A046411.at n=27A038514
- Denominators of continued fraction convergents to sqrt(510).at n=9A041975
- Numerators of continued fraction convergents to sqrt(971).at n=5A042878
- Numbers k such that string 2,7 occurs in the base 8 representation of k but not of k-1.at n=47A044210
- Numbers n such that string 4,2 occurs in the base 9 representation of n but not of n-1.at n=37A044289