6703
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
- 6704
- 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
- 6702
- Möbius Function
- -1
- Radical
- 6703
- 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
- 93
- 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
- 865
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (1,k) is "good".at n=41A000696
- Largest prime == 7 (mod 8) with class number 2n+1.at n=11A002147
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=39A007353
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=7A020439
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=53A020611
- 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=12A031579
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=19A031812
- Multiplicity of highest weight (or singular) vectors associated with character chi_165 of Monster module.at n=38A034553
- Numbers whose base-5 representation contains exactly two 0's and three 3's.at n=18A045198
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=21A046020
- a(n) is the smallest integer such that the sum of any three ordered terms a(k), k <= n, is unique.at n=17A051912
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=9A052235
- 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=17A054824
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=31A060518
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (2,6).at n=37A073650
- a(n) = prime(n*(n+1)/2+4).at n=41A078725
- Diagonal of triangle in A082737.at n=29A082738
- Gregorian calendar years with Ascension Day in April.at n=23A084427
- a(1) = 2, a(n+1) = smallest prime of the form a(n) + k*prime(n+1), k >1.at n=24A085041
- Numbers n such that A003313(n) = A003313(2n).at n=21A086878