The number 87743
87743 is the 8522nd prime number. Its only divisors are 1 and 87743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87743: the 8522nd prime number.
- 2
87743 is prime, so its only factors are 1 and 87743. It is the 8522nd prime; the next prime is 87751 and the one before is 87739.
- 3
The divisors add up to 87744; without 87743 itself that is 1, so 87743 is deficient (1 is less than 87743). Euler's totient φ(87743) = 87742 numbers up to 87743 share no factor with it.
- 4
The digits of 87743 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
87743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87744 |
| Euler totient φ(n) | 87742 |
| Square | 7698834049 |
| Cube | 675518795961407 |
| Square root | 296.214449 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7743 × |
87743 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and forty-three |
| Binary (base 2) | 10101011010111111 |
| Octal (base 8) | 253277 |
| Hexadecimal (base 16) | 156BF |
| Base 3 | 11110100202 |
| As time | 87743 seconds = 24 h 22 min 23 s |
Is 87743 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 87743 a prime number?
Yes. 87743 is divisible only by 1 and itself.
What are the factors of 87743?
1, 87743.
What is 87743 in binary?
10101011010111111 (hexadecimal 156BF, octal 253277).
What is the square root of 87743?
About 296.2144.
Is 87743 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87743?
87743 is the 8522nd prime number.