The number 35401
35401 is the 3770th prime number. Its only divisors are 1 and 35401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35401: the 3770th prime number.
- 2
35401 is prime, so its only factors are 1 and 35401. It is the 3770th prime; the next prime is 35407 and the one before is 35393.
- 3
The divisors add up to 35402; without 35401 itself that is 1, so 35401 is deficient (1 is less than 35401). Euler's totient φ(35401) = 35400 numbers up to 35401 share no factor with it.
- 4
The digits of 35401 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 80 steps to reach 1.
35401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35402 |
| Euler totient φ(n) | 35400 |
| Square | 1253230801 |
| Cube | 44365623586201 |
| Square root | 188.151535 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5401 × |
35401 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and one |
| Binary (base 2) | 1000101001001001 |
| Octal (base 8) | 105111 |
| Hexadecimal (base 16) | 8A49 |
| Base 3 | 1210120011 |
| As time | 35401 seconds = 9 h 50 min 1 s |
Is 35401 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 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 3) | 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 35401 a prime number?
Yes. 35401 is divisible only by 1 and itself.
What are the factors of 35401?
1, 35401.
What is 35401 in binary?
1000101001001001 (hexadecimal 8A49, octal 105111).
What is the square root of 35401?
About 188.1515.
Is 35401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35401?
35401 is the 3770th prime number.