The number 17401
17401 is the 2002nd prime number. Its only divisors are 1 and 17401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17401: the 2002nd prime number.
- 2
17401 is prime, so its only factors are 1 and 17401. It is the 2002nd prime; the next prime is 17417 and the one before is 17393.
- 3
The divisors add up to 17402; without 17401 itself that is 1, so 17401 is deficient (1 is less than 17401). Euler's totient φ(17401) = 17400 numbers up to 17401 share no factor with it.
- 4
The digits of 17401 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
17401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17402 |
| Euler totient φ(n) | 17400 |
| Square | 302794801 |
| Cube | 5268932332201 |
| Square root | 131.912850 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7401 × |
17401 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and one |
| Binary (base 2) | 100001111111001 |
| Octal (base 8) | 41771 |
| Hexadecimal (base 16) | 43F9 |
| Base 3 | 212212111 |
| As time | 17401 seconds = 4 h 50 min 1 s |
Is 17401 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 4) | 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 10) | 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 17401 a prime number?
Yes. 17401 is divisible only by 1 and itself.
What are the factors of 17401?
1, 17401.
What is 17401 in binary?
100001111111001 (hexadecimal 43F9, octal 41771).
What is the square root of 17401?
About 131.9129.
Is 17401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17401?
17401 is the 2002nd prime number.