The number 83987
83987 is the 8190th prime number. Its only divisors are 1 and 83987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83987: the 8190th prime number.
- 2
83987 is prime, so its only factors are 1 and 83987. It is the 8190th prime; the next prime is 84011 and the one before is 83983.
- 3
The divisors add up to 83988; without 83987 itself that is 1, so 83987 is deficient (1 is less than 83987). Euler's totient φ(83987) = 83986 numbers up to 83987 share no factor with it.
- 4
The digits of 83987 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
83987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83988 |
| Euler totient φ(n) | 83986 |
| Square | 7053816169 |
| Cube | 592428858585803 |
| Square root | 289.805107 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3987 × |
83987 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and eighty-seven |
| Binary (base 2) | 10100100000010011 |
| Octal (base 8) | 244023 |
| Hexadecimal (base 16) | 14813 |
| Base 3 | 11021012122 |
| As time | 83987 seconds = 23 h 19 min 47 s |
Is 83987 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 2) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 83987 a prime number?
Yes. 83987 is divisible only by 1 and itself.
What are the factors of 83987?
1, 83987.
What is 83987 in binary?
10100100000010011 (hexadecimal 14813, octal 244023).
What is the square root of 83987?
About 289.8051.
Is 83987 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 83987?
83987 is the 8190th prime number.