The number 73357
73357 is a composite number with 4 divisors. Its prime factorisation is 109 × 673. Divisors (4): 1, 109, 673, 73357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73357: a semiprime: 109 × 673, the product of two primes.
- 2
73357 is composite. Its prime factorisation is
- 3
The divisors add up to 74140; without 73357 itself that is 783, so 73357 is deficient (783 is less than 73357). Euler's totient φ(73357) = 72576 numbers up to 73357 share no factor with it.
- 4
The digits of 73357 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73357 = 109 \times 673 \]
73357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74140 |
| Euler totient φ(n) | 72576 |
| Square | 5381249449 |
| Cube | 394752315830293 |
| Square root | 270.844974 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3357 × |
73357 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and fifty-seven |
| Binary (base 2) | 10001111010001101 |
| Octal (base 8) | 217215 |
| Hexadecimal (base 16) | 11E8D |
| Base 3 | 10201121221 |
| As time | 73357 seconds = 20 h 22 min 37 s |
Is 73357 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 2) | 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 4) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 73357 a prime number?
No. 73357 = 109 × 673, so it is divisible by 109.
What are the factors of 73357?
1, 109, 673, 73357.
What is 73357 in binary?
10001111010001101 (hexadecimal 11E8D, octal 217215).
What is the square root of 73357?
About 270.8450.
Is 73357 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73357?
73357 is a semiprime: 109 × 673, the product of two primes.