The number 15073
15073 is the 1760th prime number. Its only divisors are 1 and 15073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15073: the 1760th prime number.
- 2
15073 is prime, so its only factors are 1 and 15073. It is the 1760th prime; the next prime is 15077 and the one before is 15061.
- 3
The divisors add up to 15074; without 15073 itself that is 1, so 15073 is deficient (1 is less than 15073). Euler's totient φ(15073) = 15072 numbers up to 15073 share no factor with it.
- 4
The digits of 15073 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 89 steps to reach 1.
15073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15074 |
| Euler totient φ(n) | 15072 |
| Square | 227195329 |
| Cube | 3424515194017 |
| Square root | 122.772147 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.5073 × |
15073 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and seventy-three |
| Binary (base 2) | 11101011100001 |
| Octal (base 8) | 35341 |
| Hexadecimal (base 16) | 3AE1 |
| Base 3 | 202200021 |
| As time | 15073 seconds = 4 h 11 min 13 s |
Is 15073 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 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 1) | 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 3) | 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 15073 a prime number?
Yes. 15073 is divisible only by 1 and itself.
What are the factors of 15073?
1, 15073.
What is 15073 in binary?
11101011100001 (hexadecimal 3AE1, octal 35341).
What is the square root of 15073?
About 122.7721.
Is 15073 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 15073?
15073 is the 1760th prime number.