8059
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
- 8060
- 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
- 8058
- Möbius Function
- -1
- Radical
- 8059
- 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
- 52
- 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
- 1013
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- MacMahon's solid partitions of n in which 2 is the smallest summand.at n=11A002043
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=20A015988
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EPI = Epistilbite Ca3[Al6Si18O48].16H2O starting with a T3 atom.at n=12A019117
- T(2n-1,n-2), T given by A026714.at n=5A026719
- 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=11A031587
- Numbers having four 1's in base 6.at n=36A043376
- Primes with first digit 8.at n=22A045714
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=21A046018
- Numbers which need eight 'Reverse and Add' steps to reach a palindrome.at n=15A065213
- a(n) = Sum_{i=n+1..2n} prime(i) - Sum_{i=1..n} prime(i).at n=38A077354
- a(n) = prime(2*n*(n+1)+1).at n=22A078746
- a(1) = 2, a(2) = 3; for n > 0, a(n+2) is the smallest prime chosen so that (a(n+2) - a(n+1))/(a(n+1) - a(n)) is an integer.at n=15A084736
- Primes p such that A001414(p-1) and A001414(p+1) are both prime, where A001414 = sum of primes dividing n (with repetition).at n=41A086715
- Sum of primes <= p is even and sum is twice a prime.at n=41A089894
- a(1) = 2, a(2) = 1; for n >= 3, a(n) = least prime not included earlier that divides the concatenation of all previous terms.at n=23A096097
- Primes from merging of 4 successive digits in decimal expansion of exp(Pi).at n=31A105009
- Primes from merging of 4 successive digits in decimal expansion of exp(Pi).at n=18A105009
- a(n) = A002861(n) + A000081(n).at n=10A124682
- Primes p such that the largest prime factor of p+1 has Erdős-Selfridge class+ < N-1 if p is of class N+.at n=28A129470
- Primes p of Erdos-Selfridge class 3+ with largest prime factor of p+1 not of class 2+.at n=23A129471