8111
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8112
- 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
- 8110
- Möbius Function
- -1
- Radical
- 8111
- 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
- 65
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1020
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T7 atom.at n=12A019164
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=18A020415
- Primes that contain digits 1 and 8 only.at n=6A020456
- Describe the previous term! (method B - initial term is 8).at n=2A022504
- a(n) is the least prime > a(n-1) whose digits do not appear in a(n-1).at n=24A030284
- 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 89.at n=16A031587
- Numbers whose set of base-9 digits is {1,2}.at n=39A032930
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,1.at n=4A037542
- Numbers having three 1's in base 10.at n=34A043495
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=24A045147
- Primes with first digit 8.at n=29A045714
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=19A054827
- Primes q of the form q = 10p + 1, where p is also prime.at n=32A055781
- Primes p whose reciprocal has period (p-1)/10.at n=12A056215
- Near-repdigit primes such that all digits are equal except for an end-digit.at n=48A056710
- Primes of the form abbbbb... where a and b are digits.at n=50A061022
- Primes having only {0, 1, 8} as digits.at n=11A061247
- Primes with 11 as smallest positive primitive root.at n=34A061324
- a(n) = 48*n^2 - 1.at n=13A065532
- Primes which can be expressed as concatenation of cubes.at n=19A066592