The number 84401
84401 is the 8226th prime number. Its only divisors are 1 and 84401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84401: the 8226th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84401 is prime, so its only factors are 1 and 84401. It is the 8226th prime; the next prime is 84407 and the one before is 84391.
- 3
The divisors add up to 84402; without 84401 itself that is 1, so 84401 is deficient (1 is less than 84401). Euler's totient φ(84401) = 84400 numbers up to 84401 share no factor with it.
- 4
The digits of 84401 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
84401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 84402 |
| Euler totient φ(n) | 84400 |
| Square | 7123528801 |
| Cube | 601232954333201 |
| Square root | 290.518502 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4401 × |
84401 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred and one |
| Binary (base 2) | 10100100110110001 |
| Octal (base 8) | 244661 |
| Hexadecimal (base 16) | 149B1 |
| Base 3 | 11021202222 |
| As time | 84401 seconds = 23 h 26 min 41 s |
Is 84401 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 2) | 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 5) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84401 a prime number?
Yes. 84401 is divisible only by 1 and itself.
What are the factors of 84401?
1, 84401.
What is 84401 in binary?
10100100110110001 (hexadecimal 149B1, octal 244661).
What is the square root of 84401?
About 290.5185.
Is 84401 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 84401?
84401 is the 8226th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.