8293
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8294
- 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
- 8292
- Möbius Function
- -1
- Radical
- 8293
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1041
- 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 91.at n=1A020430
- Smallest nonempty set S containing prime divisors of 6k+7 for each k in S.at n=46A020604
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=37A031810
- Number of primes < n^3.at n=43A038098
- Primes whose consecutive digits differ by 6 or 7.at n=16A048418
- Prime number spiral (clockwise, South spoke).at n=16A054566
- Nearest integer to log(n!)^(1 + log(log(1 + n))).at n=25A062476
- Prime(n) and prime(n+4) use the same digits.at n=9A069796
- Primes in which odd positioned digits are prime and even positioned digits are composite. The least significant digit is taken to be the first digit.at n=48A083820
- Primes p such that both prime(p) + prime(p+1) +/-1 are also primes.at n=39A093734
- Primes from merging of 4 successive digits in decimal expansion of the Champernowne Constant.at n=3A104947
- Primes such that the sum of the predecessor and successor primes is divisible by 29.at n=31A112859
- Primes for which the weight as defined in A117078 is 9 and the gap as defined in A001223 is 4.at n=31A119594
- Primes p such that p+1, p+2 and p+3 have equal number of divisors.at n=11A119711
- a(n) = 5 + floor( Sum_{j=1..n-1} a(j)/3 ).at n=26A120151
- Prime arithmetic mean of ten consecutive primes.at n=25A123096
- a(n)=(n^5-n-30)/30.at n=12A131211
- Partial sums of A000016.at n=17A133670
- List of strictly non-palindromic twin primes {p, p+2}.at n=5A138329
- List of triples of strictly non-palindromic primes without an ordinary prime in between.at n=14A138358