8093
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8094
- 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
- 8092
- Möbius Function
- -1
- Radical
- 8093
- 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
- 158
- 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
- 1018
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(1) = 3; for n>0, a(n+1) = a(n) + floor((a(n)-1)/2).at n=21A003312
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=20A020384
- Primes of the form k^2 - 7.at n=10A028883
- [ exp(9/19)*n! ].at n=6A030869
- Primes with first digit 8.at n=27A045714
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=15A050966
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=19A054825
- Number of parts if 4^n is partitioned into parts of size 3^n as far as possible into parts of size 2^n as far as possible and into parts of size 1^n.at n=12A064630
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=37A067256
- Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=28A077405
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=33A079652
- Largest prime factor of 3^n-2.at n=11A080798
- Primes such that successive differences are distinct palindromes.at n=29A087582
- Expansion of q^(-1/2)(eta(q^2)eta(q^10)/(eta(q)eta(q^5)))^2 in powers of q.at n=24A093830
- Indices of prime Pell numbers.at n=23A096650
- Antidiagonal sums of table A096751.at n=12A096753
- 5th diagonal of triangle in A059317.at n=19A106113
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=20A116886
- Prime arithmetic mean of ten consecutive primes.at n=23A123096
- Primes p such that 2*p+1 and 2*p+3 are twin primes.at n=38A126107