The number 13751
13751 is the 1626th prime number. Its only divisors are 1 and 13751.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13751: the 1626th prime number.
- 2
13751 is prime, so its only factors are 1 and 13751. It is the 1626th prime; the next prime is 13757 and the one before is 13729.
- 3
The divisors add up to 13752; without 13751 itself that is 1, so 13751 is deficient (1 is less than 13751). Euler's totient φ(13751) = 13750 numbers up to 13751 share no factor with it.
- 4
The digits of 13751 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
13751 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13752 |
| Euler totient φ(n) | 13750 |
| Square | 189090001 |
| Cube | 2600176603751 |
| Square root | 117.264658 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3751 × |
13751 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and fifty-one |
| Binary (base 2) | 11010110110111 |
| Octal (base 8) | 32667 |
| Hexadecimal (base 16) | 35B7 |
| Base 3 | 200212022 |
| As time | 13751 seconds = 3 h 49 min 11 s |
Is 13751 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13751 a prime number?
Yes. 13751 is divisible only by 1 and itself.
What are the factors of 13751?
1, 13751.
What is 13751 in binary?
11010110110111 (hexadecimal 35B7, octal 32667).
What is the square root of 13751?
About 117.2647.
Is 13751 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13751?
13751 is the 1626th prime number.