6907
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6908
- 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
- 6906
- Möbius Function
- -1
- Radical
- 6907
- 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
- 119
- 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
- 888
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=27A020401
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 1 mod 4}.at n=10A024389
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=43A025200
- T(2n,n-2), T given by A026703.at n=5A026706
- Sequence satisfies T^2(a)=a, where T is defined below.at n=50A027588
- 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 83.at n=2A031581
- Number of partitions of n such that cn(1,5) <= cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=69A036849
- Denominators of continued fraction convergents to sqrt(261).at n=9A041489
- Denominators of continued fraction convergents to sqrt(397).at n=8A041755
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=22A045151
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=18A046014
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=33A060518
- Primes p such that p+5==0 (mod phi(p+5)).at n=30A067542
- 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=34A073939
- Numbers k that divide A062273(k).at n=14A077579
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=14A085957
- Least prime that begins a run of exactly 2n-1 primes between two consecutive prime-indexed primes.at n=9A088988
- The trinomial transform (A027907) gives powers of 3, while the trinomial transform of this sequence shift one place left gives powers of 5.at n=11A101617
- Prime numbers q such that q^2 = 2*prime(n) + n for some n.at n=36A104852
- Numbers k such that the k-th semiprime == 9 (mod k).at n=9A106134