The number 87072
87072 is a composite number with 24 divisors. Its prime factorisation is × 3 × 907. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628 … 87072.
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How to work it out
- 1
What is special about 87072: a Harshad number: divisible by its digit sum 24.
- 2
87072 is composite. Its prime factorisation is
- 3
The divisors add up to 228816; without 87072 itself that is 141744, so 87072 is abundant (141744 is more than 87072). Euler's totient φ(87072) = 28992 numbers up to 87072 share no factor with it.
- 4
The digits of 87072 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87072 = 2^{5} \times 3 \times 907 \]87072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 228816 |
| Euler totient φ(n) | 28992 |
| Square | 7581533184 |
| Cube | 660139257397248 |
| Square root | 295.079650 (= 4√5442) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7072 × |
87072 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and seventy-two |
| Binary (base 2) | 10101010000100000 |
| Octal (base 8) | 252040 |
| Hexadecimal (base 16) | 15420 |
| Base 3 | 11102102220 |
| As time | 87072 seconds = 24 h 11 min 12 s |
Is 87072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87072 ÷ 2 = 43536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87072 ÷ 3 = 29024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87072 ÷ 4 = 21768) | 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 | Yes (87072 ÷ 6 = 14512) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (87072 ÷ 8 = 10884) | 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 2) | 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 | Yes (87072 ÷ 12 = 7256) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87072 a prime number?
No. 87072 = × 3 × 907, so it is divisible by 2.
What are the factors of 87072?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768, 29024, 43536, 87072.
What is 87072 in binary?
10101010000100000 (hexadecimal 15420, octal 252040).
What is the square root of 87072?
About 295.0797, exactly 4√5442.
Is 87072 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87072?
87072 is a Harshad number: divisible by its digit sum 24.