The number 54001
54001 is the 5501st prime number. Its only divisors are 1 and 54001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54001: the 5501st prime number.
- 2
54001 is prime, so its only factors are 1 and 54001. It is the 5501st prime; the next prime is 54011 and the one before is 53993.
- 3
The divisors add up to 54002; without 54001 itself that is 1, so 54001 is deficient (1 is less than 54001). Euler's totient φ(54001) = 54000 numbers up to 54001 share no factor with it.
- 4
The digits of 54001 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
54001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54002 |
| Euler totient φ(n) | 54000 |
| Square | 2916108001 |
| Cube | 157472748162001 |
| Square root | 232.381152 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.4001 × |
54001 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and one |
| Binary (base 2) | 1101001011110001 |
| Octal (base 8) | 151361 |
| Hexadecimal (base 16) | D2F1 |
| Base 3 | 2202002001 |
| As time | 54001 seconds = 15 h 0 min 1 s |
Is 54001 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 1) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 54001 a prime number?
Yes. 54001 is divisible only by 1 and itself.
What are the factors of 54001?
1, 54001.
What is 54001 in binary?
1101001011110001 (hexadecimal D2F1, octal 151361).
What is the square root of 54001?
About 232.3812.
Is 54001 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 54001?
54001 is the 5501st prime number.