The number 62401
62401 is the 6267th prime number. Its only divisors are 1 and 62401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62401: the 6267th prime number.
- 2
62401 is prime, so its only factors are 1 and 62401. It is the 6267th prime; the next prime is 62417 and the one before is 62383.
- 3
The divisors add up to 62402; without 62401 itself that is 1, so 62401 is deficient (1 is less than 62401). Euler's totient φ(62401) = 62400 numbers up to 62401 share no factor with it.
- 4
The digits of 62401 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 148 steps to reach 1.
62401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 62402 |
| Euler totient φ(n) | 62400 |
| Square | 3893884801 |
| Cube | 242982305467201 |
| Square root | 249.801922 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2401 × |
62401 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and one |
| Binary (base 2) | 1111001111000001 |
| Octal (base 8) | 171701 |
| Hexadecimal (base 16) | F3C1 |
| Base 3 | 10011121011 |
| As time | 62401 seconds = 17 h 20 min 1 s |
Is 62401 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 3) | 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 9) | 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 62401 a prime number?
Yes. 62401 is divisible only by 1 and itself.
What are the factors of 62401?
1, 62401.
What is 62401 in binary?
1111001111000001 (hexadecimal F3C1, octal 171701).
What is the square root of 62401?
About 249.8019.
Is 62401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 62401?
62401 is the 6267th prime number.