8263
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8264
- 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
- 8262
- Möbius Function
- -1
- Radical
- 8263
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1036
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r.at n=36A005576
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=33A020411
- 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=34A031587
- Upper prime of a difference of 20 between consecutive primes.at n=10A031939
- Positive numbers having the same set of digits in base 6 and base 9.at n=43A037436
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3,0.at n=4A037700
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1,0.at n=5A037752
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=42A038562
- a(n) = Sum_{i=0..floor(n/2)} A047072(i, n-2*i).at n=22A047079
- 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=21A054827
- Primes of the form 4*k^2 + 163.at n=38A057604
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=13A057698
- Final terms of rows of A077321.at n=26A077323
- Largest prime factor of the integer formed by truncating the decimal expansion of Pi to n places.at n=7A078604
- a(n) = prime(n*(n+1)/2 + 1).at n=45A078721
- 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=46A083820
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=31A086708
- Primes in which no digit is coprime to its neighbors.at n=21A088297
- Primes which are also prime if their base 32 representation is interpreted as a base 10 number.at n=40A090716
- Primes arising as the arithmetic mean of first n terms of A090918.at n=46A090919