The number 14401
14401 is the 1687th prime number. Its only divisors are 1 and 14401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14401: the 1687th prime number.
- 2
14401 is prime, so its only factors are 1 and 14401. It is the 1687th prime; the next prime is 14407 and the one before is 14389.
- 3
The divisors add up to 14402; without 14401 itself that is 1, so 14401 is deficient (1 is less than 14401). Euler's totient φ(14401) = 14400 numbers up to 14401 share no factor with it.
- 4
The digits of 14401 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 164 steps to reach 1.
14401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14402 |
| Euler totient φ(n) | 14400 |
| Square | 207388801 |
| Cube | 2986606123201 |
| Square root | 120.004167 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.4401 × |
14401 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and one |
| Binary (base 2) | 11100001000001 |
| Octal (base 8) | 34101 |
| Hexadecimal (base 16) | 3841 |
| Base 3 | 201202101 |
| As time | 14401 seconds = 4 h 0 min 1 s |
Is 14401 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 2) | 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 14401 a prime number?
Yes. 14401 is divisible only by 1 and itself.
What are the factors of 14401?
1, 14401.
What is 14401 in binary?
11100001000001 (hexadecimal 3841, octal 34101).
What is the square root of 14401?
About 120.0042.
Is 14401 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 14401?
14401 is the 1687th prime number.