The number 84011
84011 is the 8191st prime number. Its only divisors are 1 and 84011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84011: the 8191st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84011 is prime, so its only factors are 1 and 84011. It is the 8191st prime; the next prime is 84017 and the one before is 83987.
- 3
The divisors add up to 84012; without 84011 itself that is 1, so 84011 is deficient (1 is less than 84011). Euler's totient φ(84011) = 84010 numbers up to 84011 share no factor with it.
- 4
The digits of 84011 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
84011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 84012 |
| Euler totient φ(n) | 84010 |
| Square | 7057848121 |
| Cube | 592936878493331 |
| Square root | 289.846511 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4011 × |
84011 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and eleven |
| Binary (base 2) | 10100100000101011 |
| Octal (base 8) | 244053 |
| Hexadecimal (base 16) | 1482B |
| Base 3 | 11021020112 |
| As time | 84011 seconds = 23 h 20 min 11 s |
Is 84011 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 3) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84011 a prime number?
Yes. 84011 is divisible only by 1 and itself.
What are the factors of 84011?
1, 84011.
What is 84011 in binary?
10100100000101011 (hexadecimal 1482B, octal 244053).
What is the square root of 84011?
About 289.8465.
Is 84011 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 84011?
84011 is the 8191st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.