8117
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
- 8118
- 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
- 8116
- Möbius Function
- -1
- Radical
- 8117
- 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
- 39
- 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
- 1021
- 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 43.at n=20A020382
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=25A023298
- Primes that remain prime through 4 iterations of the function f(x) = 9x + 8.at n=7A023326
- Primes that remain prime through 5 iterations of function f(x) = 9x + 8.at n=1A023354
- Convolution of (F(2), F(3), F(4), ...) and primes.at n=13A023657
- Primes p such that p+1 is palindromic.at n=24A028981
- Number of not-necessarily-symmetric n X 2 crossword puzzle grids.at n=9A034182
- Decimal part of a(n)^(1/n) starts with a pandigital anagram (digits 0 through 9 in some order).at n=3A035304
- Prime numbers p such that the number of partitions of p is also a prime.at n=10A038601
- Primes with first digit 8.at n=30A045714
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 15.at n=13A050964
- Primes p from A031924 such that A052180(p) = 23.at n=7A052238
- Primes q of form q=10p+7, where p is also prime.at n=36A055783
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).at n=35A057473
- Numbers k such that 5*7^k + 6 is prime.at n=21A059810
- Primes with either no internal digits or all internal digits are 1.at n=47A069676
- Starting with a(0) = 1, smallest squarefree number k such that, for all a(m), m < n, k + a(m) is not squarefree.at n=10A077225
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,1,2}.at n=21A079988
- Starting with a(0) = 1, smallest number k > a(n-1) such that, for all a(m) with m < n, k + a(m) is not squarefree.at n=10A080793
- Row sums of the triangle described in A082200.at n=17A082203