The number 55073
55073 is the 5598th prime number. Its only divisors are 1 and 55073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55073: the 5598th prime number.
- 2
55073 is prime, so its only factors are 1 and 55073. It is the 5598th prime; the next prime is 55079 and the one before is 55061.
- 3
The divisors add up to 55074; without 55073 itself that is 1, so 55073 is deficient (1 is less than 55073). Euler's totient φ(55073) = 55072 numbers up to 55073 share no factor with it.
- 4
The digits of 55073 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55074 |
| Euler totient φ(n) | 55072 |
| Square | 3033035329 |
| Cube | 167038354674017 |
| Square root | 234.676373 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5073 × |
55073 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and seventy-three |
| Binary (base 2) | 1101011100100001 |
| Octal (base 8) | 153441 |
| Hexadecimal (base 16) | D721 |
| Base 3 | 2210112202 |
| As time | 55073 seconds = 15 h 17 min 53 s |
Is 55073 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 55073 a prime number?
Yes. 55073 is divisible only by 1 and itself.
What are the factors of 55073?
1, 55073.
What is 55073 in binary?
1101011100100001 (hexadecimal D721, octal 153441).
What is the square root of 55073?
About 234.6764.
Is 55073 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55073?
55073 is the 5598th prime number.