6911
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6912
- 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
- 6910
- Möbius Function
- -1
- Radical
- 6911
- 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
- 150
- 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
- 889
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.at n=23A005105
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=12A020415
- [ exp(6/19)*n! ].at n=6A030872
- 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=3A031581
- "DHK" (bracelet, identity, unlabeled) transform of 1,1,1,1,...at n=18A032245
- Sums of 11 distinct powers of 2.at n=24A038462
- Numbers having four 5's in base 6.at n=6A043392
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=15A045147
- Primes p from A031924 such that A052180(primepi(p)) = 31.at n=3A052237
- Primes q of the form q = 10p + 1, where p is also prime.at n=29A055781
- a(n) is smallest prime such that a(n)+1 is a proper multiple of a(n-1)+1 [with a(1)=1].at n=8A058000
- Smallest prime p such that x = n is a solution mod p of x^3 = 2, or 0 if no such prime exists.at n=22A059940
- a(n) = 2^n - 1 + Fibonacci(n-1)*2^(n+1).at n=7A060160
- Numbers k for which phi(prime(k)) is a square.at n=44A062325
- a(n) = 48*n^2 - 1.at n=12A065532
- Primes p such that p^6 + p^3 + 1 is prime.at n=35A066100
- Primes of the form sum 6d/(2 + mu(d)) for some k and all d dividing k.at n=19A069548
- Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime.at n=33A069833
- Sum of the reverses of the first n primes.at n=34A071602
- Primes p such that 3p is equidistant from consecutive prime twin pairs.at n=40A074931