9883
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9884
- 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
- 9882
- Möbius Function
- -1
- Radical
- 9883
- 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
- 166
- 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
- 1219
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n^4 + (9/2)*n^3 + n^2 - (9/2)*n + 1.at n=9A003878
- Cycle class sequence c(n) (number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan [ AlnSi112-n O224 ].at n=12A019120
- 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 99.at n=7A031597
- Lucky numbers with smallest increasing gaps (upper terms).at n=20A031885
- Number of binary words of length n with autocorrelation function 2^(n-1)+1.at n=15A045691
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=22A046014
- Primes whose sum of digits is the perfect number 28.at n=27A048517
- Numbers k such that 79*2^k-1 is prime.at n=15A050565
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=35A052351
- Primes p such that x^61 = 2 has no solution mod p.at n=23A059230
- Numbers k such that 72^k - 71^k is prime.at n=1A062638
- Primes with either no internal digits or all internal digits are 8.at n=47A069683
- a(n) = the n-th prime with sum of decimal digits = n, or 0 if no such number exists.at n=27A075361
- Duplicate of A075361.at n=27A082258
- a(n) = 8*n^2 + 88*n + 43.at n=30A086760
- Shadow of Pi.at n=45A110621
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=31A113156
- Number of distinct squares D(n) in the n-th iterate of the tribonacci morphism (a -> ab, b -> ac, c -> a) on the letter a.at n=12A116576
- Primes p that divide Fibonacci[(p+1)/7].at n=14A125252
- a(n) = (n^3)/2 + (3*n^2)/2 + 3*n + 3.at n=25A127873