16889
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16890
- 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
- 16888
- Möbius Function
- -1
- Radical
- 16889
- 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
- 58
- 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
- 1948
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that there is no Carmichael number pqr, p<q<r q, r primes.at n=20A051663
- a(n) = floor( sum(k=0, infinity, k^n/(k!)^2 ) ); related to generalized Bell numbers.at n=11A086880
- Smallest prime of the form 1 followed by a perfect power.at n=18A089773
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=40A090918
- Primes of the form n^2 - 11.at n=18A091272
- Balanced primes of order five.at n=36A096697
- Primes with digit sum = 32.at n=5A106768
- a(1)=1, a(n)=a(n-1)+n^3 if n odd, a(n)=a(n-1)+ n^4 if n is even.at n=9A140155
- Primes of the form 2*3*5*7*k+89, k >= 0.at n=34A141866
- Primes congruent to 35 mod 53.at n=37A142565
- Primes congruent to 15 mod 59.at n=31A142742
- Primes congruent to 53 mod 61.at n=31A142851
- Primes dividing some member of A073833.at n=36A161500
- 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=21A179595
- a(n) is a prime number that cannot be the center term of a length 3 arithmetic progression prime group with a common difference whose number of runs in binary expansion is 2.at n=24A231387
- Odd primes p with prime(2*p) - 2*prime(p) and prime(p) - 2*prime((p-1)/2) both prime.at n=45A236075
- Primes of form n^2 + 10000.at n=15A256838
- Primes of the form p^2 + b^4 where p is a prime.at n=39A262340
- Primes p such that the sum of digits of p and digits of the next prime q is equal to the sum of digits of p*q.at n=42A346493
- Primes that do not divide any 3-Carmichael numbers.at n=17A369777