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The number 16733

16733 is a composite number with 4 divisors. Its prime factorisation is 29 × 577. Divisors (4): 1, 29, 577, 16733.

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How to work it out

  1. 1

    What is special about 16733: a semiprime: 29 × 577, the product of two primes.

  2. 2

    16733 is composite. Its prime factorisation is

    16733=29×57716733 = 29 \times 577
  3. 3

    The divisors add up to 17340; without 16733 itself that is 607, so 16733 is deficient (607 is less than 16733). Euler's totient φ(16733) = 16128 numbers up to 16733 share no factor with it.

  4. 4

    The digits of 16733 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16733 = 29 \times 577 \]

16733 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors17340
Euler totient φ(n)16128
Square279993289
Cube4685127704837
Square root129.356098
Digit sum / digital root20 / 2
Collatz steps to 140
Scientific notation1.6733 × 10410^{4}

16733 in other forms

FormValue
In wordssixteen thousand seven hundred and thirty-three
Binary (base 2)100000101011101
Octal (base 8)40535
Hexadecimal (base 16)415D
Base 3211221202
As time16733 seconds = 4 h 38 min 53 s

Is 16733 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16733 a prime number?

No. 16733 = 29 × 577, so it is divisible by 29.

What are the factors of 16733?

1, 29, 577, 16733.

What is 16733 in binary?

100000101011101 (hexadecimal 415D, octal 40535).

What is the square root of 16733?

About 129.3561.

Is 16733 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 16733?

16733 is a semiprime: 29 × 577, the product of two primes.

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