The number 13901
13901 is a twin prime (13901 and 13903 are both prime) and the 1642nd prime number. Its only divisors are 1 and 13901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13901: a twin prime (13901 and 13903 are both prime); the 1642nd prime number.
- 2
13901 is prime, so its only factors are 1 and 13901. It is the 1642nd prime; the next prime is 13903 and the one before is 13883.
- 3
The divisors add up to 13902; without 13901 itself that is 1, so 13901 is deficient (1 is less than 13901). Euler's totient φ(13901) = 13900 numbers up to 13901 share no factor with it.
- 4
The digits of 13901 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
13901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13902 |
| Euler totient φ(n) | 13900 |
| Square | 193237801 |
| Cube | 2686198671701 |
| Square root | 117.902502 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3901 × |
13901 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and one |
| Binary (base 2) | 11011001001101 |
| Octal (base 8) | 33115 |
| Hexadecimal (base 16) | 364D |
| Base 3 | 201001212 |
| As time | 13901 seconds = 3 h 51 min 41 s |
Is 13901 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 13901 a prime number?
Yes. 13901 is divisible only by 1 and itself.
What are the factors of 13901?
1, 13901.
What is 13901 in binary?
11011001001101 (hexadecimal 364D, octal 33115).
What is the square root of 13901?
About 117.9025.
Is 13901 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13901?
13901 is a twin prime (13901 and 13903 are both prime); the 1642nd prime number.