8443
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
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8444
- 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
- 8442
- Möbius Function
- -1
- Radical
- 8443
- 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
- 109
- 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
- 1056
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=21A020433
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=21A023297
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=31A023299
- Primes that remain prime through 4 iterations of function f(x) = 9x + 10.at n=10A023327
- Primes that are palindromic in base 9.at n=20A029977
- 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 91.at n=13A031589
- Numbers whose set of base-14 digits is {1,3}.at n=22A032921
- Numerators of continued fraction convergents to sqrt(639).at n=6A042226
- Numbers whose base-5 representation contains exactly three 2's and three 3's.at n=4A045277
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=30A046008
- Primes with multiplicative persistence value 5.at n=20A046505
- Numbers n such that 229*2^n-1 is prime.at n=30A050866
- Primes p such that x^67 = 2 has no solution mod p.at n=18A059330
- A Collatz-Fibonacci mixture: a(1) = 1, a(2) = 2, a(n+2) = a(n+1)/2+a(n)/2 if a(n+1) and a(n) have the same parity, a(n+2) = a(n+1)+a(n) otherwise.at n=37A069202
- Primes with either no internal digits or all internal digits are 4.at n=49A069679
- a(1) = 2, a(2n) = smallest prime of the form k*a(2n-1) -1, k >1, a(2n+1) = smallest prime of the form r*a(2n)+1, r >1.at n=7A085872
- Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=9A094230
- Numbers n such that for some k and a_1,a_2,...,a_k the concatenation of the a_i is equal to n and their product is equal to pi(n).at n=33A097221
- Primes such that the sum of the predecessor and successor primes is divisible by 29.at n=32A112859
- a(1)=1, and recursively a(n+1) is the smallest prime p of the form p = 2*a(n) + 5^k for some k>0.at n=7A113927