16843
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16844
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16842
- Möbius Function
- -1
- Radical
- 16843
- 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
- 66
- 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
- 1944
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones.at n=9A031852
- a(n) is smallest prime > 2*a(n-1), a(1) = 13.at n=10A065546
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=10A086003
- Primes such that the next n successive differences are identical.at n=14A087562
- Wolstenholme primes: primes p such that binomial(2p-1,p-1) == 1 (mod p^4).at n=0A088164
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 8.at n=33A109562
- Prime sums of 6 positive 5th powers.at n=27A123035
- Primes p such that q-p = 28, where q is the next prime after p.at n=14A124595
- Prime numbers p such that p +- ((p-1)/7) are primes.at n=12A137770
- Primes congruent to 42 mod 53.at n=35A142572
- Primes congruent to 28 mod 59.at n=31A142755
- Primes congruent to 7 mod 61.at n=38A142805
- Primes p such that p^3 - 24 and p^3 + 24 are also primes.at n=29A153323
- a(n) = 7^n + 7*n + 1.at n=5A176972
- Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=20A179595
- Number of free poly-IH4-tiles (holes allowed) with n cells.at n=7A197958
- L.g.f.: Sum_{n>=1} a(n)*x^n/n = Sum_{n>=1} x^n/n * exp( Sum_{k>=1} 2*a(n*k)*x^(n*k)/k ).at n=6A203265
- Numbers of the form 6^j + 7^k, for j and k >= 0.at n=32A226819
- List of prime factors of 10^(10^(10^100)) - 10.at n=32A227246
- Primes which become squares when the digits are rotated once to the right.at n=15A234925