6599
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6600
- 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
- 6598
- Möbius Function
- -1
- Radical
- 6599
- 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
- 98
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 853
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Positions of remoteness 4 in Beans-Don't-Talk.at n=28A005696
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite APD = AlPO4-D [Al16P16O64] starting from a T1 atom.at n=5A018980
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=40A023253
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=17A025025
- Primes p such that 666p is palindromic.at n=4A030095
- 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 81.at n=2A031579
- Upper prime of a difference of 18 between consecutive primes.at n=25A031937
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 2.at n=13A049954
- Numbers k such that 111*2^k-1 is prime.at n=36A050581
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057043(n)=i(L(n)), where L(n) is the n-th Lucas number.at n=40A057043
- Primes with 13 as smallest positive primitive root.at n=15A061326
- Smallest prime divisor of n-th primorial + (n+1)-st prime.at n=31A065315
- Smallest prime which is the sum of n consecutive primes, or 0 if no such prime exists.at n=54A070281
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=27A070934
- Primes which are the sum of the first k odd primes for some k.at n=5A071151
- Primes p such that 3p is equidistant from consecutive prime twin pairs.at n=38A074931
- Primes in A005728, which counts the terms in the Farey sequence of order n.at n=47A078334
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=27A082244
- Let a(1)=1; for n>1, a(n)=nextprime((3/2)*a(n-1)).at n=19A084571
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=20A088483