The number 87739
87739 is the 8521st prime number. Its only divisors are 1 and 87739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87739: the 8521st prime number.
- 2
87739 is prime, so its only factors are 1 and 87739. It is the 8521st prime; the next prime is 87743 and the one before is 87721.
- 3
The divisors add up to 87740; without 87739 itself that is 1, so 87739 is deficient (1 is less than 87739). Euler's totient φ(87739) = 87738 numbers up to 87739 share no factor with it.
- 4
The digits of 87739 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
87739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87740 |
| Euler totient φ(n) | 87738 |
| Square | 7698132121 |
| Cube | 675426414164419 |
| Square root | 296.207697 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7739 × |
87739 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and thirty-nine |
| Binary (base 2) | 10101011010111011 |
| Octal (base 8) | 253273 |
| Hexadecimal (base 16) | 156BB |
| Base 3 | 11110100121 |
| As time | 87739 seconds = 24 h 22 min 19 s |
Is 87739 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87739 a prime number?
Yes. 87739 is divisible only by 1 and itself.
What are the factors of 87739?
1, 87739.
What is 87739 in binary?
10101011010111011 (hexadecimal 156BB, octal 253273).
What is the square root of 87739?
About 296.2077.
Is 87739 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 87739?
87739 is the 8521st prime number.