The number 73107
73107 is a composite number with 6 divisors. Its prime factorisation is × 8123. Divisors (6): 1, 3, 9, 8123, 24369, 73107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73107 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73107 is composite. Its prime factorisation is
- 3
The divisors add up to 105612; without 73107 itself that is 32505, so 73107 is deficient (32505 is less than 73107). Euler's totient φ(73107) = 48732 numbers up to 73107 share no factor with it.
- 4
The digits of 73107 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73107 = 3^{2} \times 8123 \]73107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 105612 |
| Euler totient φ(n) | 48732 |
| Square | 5344633449 |
| Cube | 390730117556043 |
| Square root | 270.383062 (= 3√8123) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3107 × |
73107 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and seven |
| Binary (base 2) | 10001110110010011 |
| Octal (base 8) | 216623 |
| Hexadecimal (base 16) | 11D93 |
| Base 3 | 10201021200 |
| As time | 73107 seconds = 20 h 18 min 27 s |
Is 73107 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 | Yes (73107 ÷ 3 = 24369) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73107 ÷ 9 = 8123) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73107 a prime number?
No. 73107 = × 8123, so it is divisible by 3.
What are the factors of 73107?
1, 3, 9, 8123, 24369, 73107.
What is 73107 in binary?
10001110110010011 (hexadecimal 11D93, octal 216623).
What is the square root of 73107?
About 270.3831, exactly 3√8123.
Is 73107 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73107?
It is a composite number with 6 divisors.