The number 87144
87144 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3631. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572, 87144.
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How to work it out
- 1
What is special about 87144: a Harshad number: divisible by its digit sum 24.
- 2
87144 is composite. Its prime factorisation is
- 3
The divisors add up to 217920; without 87144 itself that is 130776, so 87144 is abundant (130776 is more than 87144). Euler's totient φ(87144) = 29040 numbers up to 87144 share no factor with it.
- 4
The digits of 87144 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87144 = 2^{3} \times 3 \times 3631 \]87144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 217920 |
| Euler totient φ(n) | 29040 |
| Square | 7594076736 |
| Cube | 661778223081984 |
| Square root | 295.201626 (= 2√21786) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7144 × |
87144 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and forty-four |
| Binary (base 2) | 10101010001101000 |
| Octal (base 8) | 252150 |
| Hexadecimal (base 16) | 15468 |
| Base 3 | 11102112120 |
| As time | 87144 seconds = 24 h 12 min 24 s |
Is 87144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87144 ÷ 2 = 43572) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87144 ÷ 3 = 29048) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87144 ÷ 4 = 21786) | 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 (87144 ÷ 6 = 14524) | 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 | Yes (87144 ÷ 8 = 10893) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87144 ÷ 12 = 7262) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87144 a prime number?
No. 87144 = × 3 × 3631, so it is divisible by 2.
What are the factors of 87144?
1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572, 87144.
What is 87144 in binary?
10101010001101000 (hexadecimal 15468, octal 252150).
What is the square root of 87144?
About 295.2016, exactly 2√21786.
Is 87144 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87144?
87144 is a Harshad number: divisible by its digit sum 24.