6563
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6564
- 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
- 6562
- Möbius Function
- -1
- Radical
- 6563
- 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
- 75
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 848
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-node unrooted steric quartic trees; number of n-carbon alkanes C(n)H(2n+2) taking stereoisomers into account.at n=14A000628
- Numbers that are the sum of 5 positive 7th powers.at n=15A003372
- Numbers that are the sum of 3 nonzero 8th powers.at n=4A003381
- Primes of the form 2^a + 3^b.at n=43A004051
- Numbers that are the sum of at most 5 positive 7th powers.at n=48A004867
- Numbers that are the sum of at most 3 nonzero 8th powers.at n=12A004876
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=17A004877
- Numbers that are the sum of at most 5 nonzero 8th powers.at n=23A004878
- Numbers that are the sum of at most 6 nonzero 8th powers.at n=30A004879
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=38A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=47A004881
- a(n) = (2^n + C(2*n,n))/2.at n=8A005317
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=37A007353
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=27A010002
- Next prime after 3^n.at n=8A014211
- The $620 prime list.at n=2A018188
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LOS = Losod Na12[Al12Si12O48].18H2O starting with a T2 atom.at n=5A019031
- Primes such that in p^2 the parity of digits alternates.at n=37A030145
- Numbers k such that in k and k^2 the parity of digits alternates.at n=30A030153
- 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=0A031579