2707
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2708
- 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
- 2706
- Möbius Function
- -1
- Radical
- 2707
- 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
- 40
- 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
- 394
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=14A001275
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=24A007354
- Binomial transform of primes.at n=8A007443
- Coordination sequence T3 for Zeolite Code LAU.at n=37A008126
- Coordination sequence T2 for Banalsite.at n=31A008250
- Expansion of (1+x^11)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=58A008772
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=3A020409
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=45A020611
- Initial members of prime triples (p, p+4, p+6).at n=30A022005
- Fibonacci sequence beginning 1, 11.at n=13A022101
- Primes that remain prime through 2 iterations of function f(x) = 2x + 3.at n=41A023242
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=30A023246
- Primes that remain prime through 2 iterations of function f(x) = 6x + 7.at n=37A023258
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=20A023262
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=27A024932
- Number of partitions of n into an even number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an odd number of parts, each <=6.at n=49A026930
- 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=11A031549
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=11A031798
- a(n) = prime(10*n - 6).at n=39A031914
- Upper prime of a difference of 8 between consecutive primes.at n=35A031927