The number 21733
21733 is a composite number with 4 divisors. Its prime factorisation is 103 × 211. Divisors (4): 1, 103, 211, 21733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21733: a semiprime: 103 × 211, the product of two primes.
- 2
21733 is composite. Its prime factorisation is
- 3
The divisors add up to 22048; without 21733 itself that is 315, so 21733 is deficient (315 is less than 21733). Euler's totient φ(21733) = 21420 numbers up to 21733 share no factor with it.
- 4
The digits of 21733 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21733 = 103 \times 211 \]
21733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 22048 |
| Euler totient φ(n) | 21420 |
| Square | 472323289 |
| Cube | 10265002039837 |
| Square root | 147.421165 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.1733 × |
21733 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand seven hundred and thirty-three |
| Binary (base 2) | 101010011100101 |
| Octal (base 8) | 52345 |
| Hexadecimal (base 16) | 54E5 |
| Base 3 | 1002210221 |
| As time | 21733 seconds = 6 h 2 min 13 s |
Is 21733 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21733 a prime number?
No. 21733 = 103 × 211, so it is divisible by 103.
What are the factors of 21733?
1, 103, 211, 21733.
What is 21733 in binary?
101010011100101 (hexadecimal 54E5, octal 52345).
What is the square root of 21733?
About 147.4212.
Is 21733 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 21733?
21733 is a semiprime: 103 × 211, the product of two primes.