6917
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6918
- 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
- 6916
- Möbius Function
- -1
- Radical
- 6917
- 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
- 106
- 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
- 890
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that k! - 1 is prime.at n=20A002982
- a(n) = n^3 + 3*n + 1.at n=19A005491
- Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.at n=48A008581
- Partial sums of (Catalan numbers starting 1, 2, 5, ...).at n=9A014138
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=12A020402
- Numerators of continued fraction convergents to sqrt(697).at n=3A042340
- Primes with multiplicative persistence value 5.at n=14A046505
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=34A046962
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=21A050968
- Primes q of form q=10p+7, where p is also prime.at n=32A055783
- Number of pairs of orientable necklaces with n beads and two colors; i.e., turning the necklace over does not leave it unchanged.at n=18A059076
- Primes p such that x^19 = 2 has no solution mod p.at n=39A059244
- Primes p such that p-5 == 0 (mod phi(p-5)).at n=28A067557
- Least k such that there are no middle divisors of k (A071090) through k+n.at n=12A071563
- Least m such that A078142(m) gives the n-th prime, where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=33A073939
- Smallest prime(k) such that 2^n divides the product of composite numbers between prime(k) and prime(k+1) but 2^(n+1) does not.at n=29A077216
- a(n) = largest prime <= n*prime(n).at n=39A079780
- Positions of A080313 in A014486.at n=19A080312
- Partial sums of n + Fibonacci(n+1).at n=17A081662
- Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.at n=17A082888