The number 87264
87264 is a composite number with 48 divisors. Its prime factorisation is × × 101. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 87264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87264: a Harshad number: divisible by its digit sum 27.
- 2
87264 is composite. Its prime factorisation is
- 3
The divisors add up to 257040; without 87264 itself that is 169776, so 87264 is abundant (169776 is more than 87264). Euler's totient φ(87264) = 28800 numbers up to 87264 share no factor with it.
- 4
The digits of 87264 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87264 = 2^{5} \times 3^{3} \times 101 \]87264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 257040 |
| Euler totient φ(n) | 28800 |
| Square | 7615005696 |
| Cube | 664515857055744 |
| Square root | 295.404807 (= 12√606) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7264 × |
87264 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and sixty-four |
| Binary (base 2) | 10101010011100000 |
| Octal (base 8) | 252340 |
| Hexadecimal (base 16) | 154E0 |
| Base 3 | 11102201000 |
| As time | 87264 seconds = 24 h 14 min 24 s |
Is 87264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87264 ÷ 2 = 43632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87264 ÷ 3 = 29088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87264 ÷ 4 = 21816) | 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 | Yes (87264 ÷ 6 = 14544) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (87264 ÷ 8 = 10908) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87264 ÷ 9 = 9696) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (87264 ÷ 12 = 7272) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87264 a prime number?
No. 87264 = × × 101, so it is divisible by 2.
What are the factors of 87264?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 101, 108, 144, 202, 216, 288, 303, 404, 432, 606, 808, 864, 909, 1212, 1616, 1818, 2424, 2727, 3232, 3636, 4848, 5454, 7272, 9696, 10908, 14544, 21816, 29088, 43632, 87264.
What is 87264 in binary?
10101010011100000 (hexadecimal 154E0, octal 252340).
What is the square root of 87264?
About 295.4048, exactly 12√606.
Is 87264 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87264?
87264 is a Harshad number: divisible by its digit sum 27.