The number 51001
51001 is the 5223rd prime number. Its only divisors are 1 and 51001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51001: the 5223rd prime number.
- 2
51001 is prime, so its only factors are 1 and 51001. It is the 5223rd prime; the next prime is 51031 and the one before is 50993.
- 3
The divisors add up to 51002; without 51001 itself that is 1, so 51001 is deficient (1 is less than 51001). Euler's totient φ(51001) = 51000 numbers up to 51001 share no factor with it.
- 4
The digits of 51001 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
51001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 51002 |
| Euler totient φ(n) | 51000 |
| Square | 2601102001 |
| Cube | 132658803153001 |
| Square root | 225.834010 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.1001 × |
51001 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and one |
| Binary (base 2) | 1100011100111001 |
| Octal (base 8) | 143471 |
| Hexadecimal (base 16) | C739 |
| Base 3 | 2120221221 |
| As time | 51001 seconds = 14 h 10 min 1 s |
Is 51001 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 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 51001 a prime number?
Yes. 51001 is divisible only by 1 and itself.
What are the factors of 51001?
1, 51001.
What is 51001 in binary?
1100011100111001 (hexadecimal C739, octal 143471).
What is the square root of 51001?
About 225.8340.
Is 51001 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 51001?
51001 is the 5223rd prime number.