16333
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16334
- 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
- 16332
- Möbius Function
- -1
- Radical
- 16333
- 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
- 1894
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 4).at n=50A035540
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=19A052234
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=37A054811
- Generalized Bell numbers B_{4,3}.at n=2A070531
- a(0)=1; for n>0, a(n) = smallest prime of the form k*a(n-1)-1 with k>1.at n=9A072532
- Generalized Bell numbers B_{3,2}(n).at n=3A078738
- Class 7+ primes.at n=1A081635
- Index k in A095773 where a string of n identical values occurs.at n=27A096183
- Smallest prime P such that P# - Mersenne-prime(n) is prime.at n=25A098566
- Prime numbers p such that p +- ((p-1)/2) are primes.at n=38A137702
- Primes congruent to 24 mod 47.at n=40A142375
- Primes congruent to 16 mod 49.at n=39A142427
- Primes congruent to 9 mod 53.at n=39A142539
- Primes congruent to 49 mod 59.at n=28A142776
- Primes congruent to 46 mod 61.at n=31A142844
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=39A146348
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, 1), (1, -1), (1, 0), (1, 1)}.at n=7A151493
- Primes p of the form : p+p^2+p^3-+8=prime.at n=14A154823
- Primes p such that p1=Floor[p/2]+p is prime and p2=Ceiling[p1/2]+p1 is prime.at n=34A158712
- Primes containing the string 333.at n=8A166581