The number 73733
73733 is a composite number with 4 divisors. Its prime factorisation is 11 × 6703. Divisors (4): 1, 11, 6703, 73733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73733: a semiprime: 11 × 6703, the product of two primes.
- 2
73733 is composite. Its prime factorisation is
- 3
The divisors add up to 80448; without 73733 itself that is 6715, so 73733 is deficient (6715 is less than 73733). Euler's totient φ(73733) = 67020 numbers up to 73733 share no factor with it.
- 4
The digits of 73733 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73733 = 11 \times 6703 \]
73733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 80448 |
| Euler totient φ(n) | 67020 |
| Square | 5436555289 |
| Cube | 400853531123837 |
| Square root | 271.538211 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3733 × |
73733 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and thirty-three |
| Binary (base 2) | 10010000000000101 |
| Octal (base 8) | 220005 |
| Hexadecimal (base 16) | 12005 |
| Base 3 | 10202010212 |
| As time | 73733 seconds = 20 h 28 min 53 s |
Is 73733 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 | Yes (73733 ÷ 11 = 6703) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73733 a prime number?
No. 73733 = 11 × 6703, so it is divisible by 11.
What are the factors of 73733?
1, 11, 6703, 73733.
What is 73733 in binary?
10010000000000101 (hexadecimal 12005, octal 220005).
What is the square root of 73733?
About 271.5382.
Is 73733 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73733?
73733 is a semiprime: 11 × 6703, the product of two primes.