8867
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 6
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8868
- 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
- 8866
- Möbius Function
- -1
- Radical
- 8867
- 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
- 140
- 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
- 1106
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sum of 12 nonzero 8th powers.at n=22A003390
- 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 93.at n=19A031591
- Lower prime of a difference of 20 between consecutive primes.at n=13A031938
- Positive numbers having the same set of digits in base 8 and base 9.at n=36A037441
- Smallest prime with multiplicative persistence n.at n=6A046500
- Primes with multiplicative persistence value 6.at n=0A046506
- Numbers with multiplicative persistence value 6.at n=10A046515
- Reversion of Liouville's lambda function A008836.at n=8A050387
- Prime number spiral (clockwise, North spoke).at n=17A054551
- Primes p such that x^31 = 2 has no solution mod p.at n=32A059225
- Numbers k such that 30^k - 29^k is prime.at n=6A062596
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=36A064396
- Primes which, although they have correct parity, are not in the prime number maze.at n=7A065123
- Initial n digits in decimal portion of golden ratio phi = (1 + sqrt 5)/2 form a prime number.at n=5A065868
- a(n) = smallest prime > n*prime(n).at n=44A079779
- Diagonal of triangular spiral in A051682.at n=44A081267
- Primes which are also prime if their base 31 representation is interpreted as a base 10 number.at n=45A090715
- Smallest prime x > n such that x (mod n) = x (mod prime(n)).at n=44A091313
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=21A095651
- Remove the least number of commas from A093086 and concatenate digits so as to always have a(n) < a(n+1).at n=8A102085