The number 53401
53401 is the 5445th prime number. Its only divisors are 1 and 53401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53401: the 5445th prime number.
- 2
53401 is prime, so its only factors are 1 and 53401. It is the 5445th prime; the next prime is 53407 and the one before is 53381.
- 3
The divisors add up to 53402; without 53401 itself that is 1, so 53401 is deficient (1 is less than 53401). Euler's totient φ(53401) = 53400 numbers up to 53401 share no factor with it.
- 4
The digits of 53401 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 140 steps to reach 1.
53401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53402 |
| Euler totient φ(n) | 53400 |
| Square | 2851666801 |
| Cube | 152281858840201 |
| Square root | 231.086564 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3401 × |
53401 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and one |
| Binary (base 2) | 1101000010011001 |
| Octal (base 8) | 150231 |
| Hexadecimal (base 16) | D099 |
| Base 3 | 2201020211 |
| As time | 53401 seconds = 14 h 50 min 1 s |
Is 53401 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 5) | 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 7) | 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 53401 a prime number?
Yes. 53401 is divisible only by 1 and itself.
What are the factors of 53401?
1, 53401.
What is 53401 in binary?
1101000010011001 (hexadecimal D099, octal 150231).
What is the square root of 53401?
About 231.0866.
Is 53401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 53401?
53401 is the 5445th prime number.