The number 87473
87473 is the 8490th prime number. Its only divisors are 1 and 87473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87473: the 8490th prime number.
- 2
87473 is prime, so its only factors are 1 and 87473. It is the 8490th prime; the next prime is 87481 and the one before is 87443.
- 3
The divisors add up to 87474; without 87473 itself that is 1, so 87473 is deficient (1 is less than 87473). Euler's totient φ(87473) = 87472 numbers up to 87473 share no factor with it.
- 4
The digits of 87473 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.
87473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87474 |
| Euler totient φ(n) | 87472 |
| Square | 7651525729 |
| Cube | 669301910092817 |
| Square root | 295.758347 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7473 × |
87473 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and seventy-three |
| Binary (base 2) | 10101010110110001 |
| Octal (base 8) | 252661 |
| Hexadecimal (base 16) | 155B1 |
| Base 3 | 11102222202 |
| As time | 87473 seconds = 24 h 17 min 53 s |
Is 87473 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 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 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 1) | 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 1) | 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 87473 a prime number?
Yes. 87473 is divisible only by 1 and itself.
What are the factors of 87473?
1, 87473.
What is 87473 in binary?
10101010110110001 (hexadecimal 155B1, octal 252661).
What is the square root of 87473?
About 295.7583.
Is 87473 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87473?
87473 is the 8490th prime number.