The number 87237
87237 is a composite number with 12 divisors. Its prime factorisation is × 359. Divisors (12): 1, 3, 9, 27, 81, 243, 359, 1077, 3231, 9693, 29079, 87237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87237: a Harshad number: divisible by its digit sum 27.
- 2
87237 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 87237 itself that is 43803, so 87237 is deficient (43803 is less than 87237). Euler's totient φ(87237) = 57996 numbers up to 87237 share no factor with it.
- 4
The digits of 87237 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87237 = 3^{5} \times 359 \]87237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 57996 |
| Square | 7610294169 |
| Cube | 663899232421053 |
| Square root | 295.359103 (= 9√1077) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7237 × |
87237 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and thirty-seven |
| Binary (base 2) | 10101010011000101 |
| Octal (base 8) | 252305 |
| Hexadecimal (base 16) | 154C5 |
| Base 3 | 11102200000 |
| As time | 87237 seconds = 24 h 13 min 57 s |
Is 87237 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 | Yes (87237 ÷ 3 = 29079) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87237 ÷ 9 = 9693) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87237 a prime number?
No. 87237 = × 359, so it is divisible by 3.
What are the factors of 87237?
1, 3, 9, 27, 81, 243, 359, 1077, 3231, 9693, 29079, 87237.
What is 87237 in binary?
10101010011000101 (hexadecimal 154C5, octal 252305).
What is the square root of 87237?
About 295.3591, exactly 9√1077.
Is 87237 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87237?
87237 is a Harshad number: divisible by its digit sum 27.