The number 87712
87712 is a composite number with 12 divisors. Its prime factorisation is × 2741. Divisors (12): 1, 2, 4, 8, 16, 32, 2741, 5482, 10964, 21928, 43856, 87712.
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How to work it out
- 1
What is special about 87712: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87712 is composite. Its prime factorisation is
- 3
The divisors add up to 172746; without 87712 itself that is 85034, so 87712 is deficient (85034 is less than 87712). Euler's totient φ(87712) = 43840 numbers up to 87712 share no factor with it.
- 4
The digits of 87712 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87712 = 2^{5} \times 2741 \]87712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 172746 |
| Euler totient φ(n) | 43840 |
| Square | 7693394944 |
| Cube | 674803057328128 |
| Square root | 296.162118 (= 4√5482) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7712 × |
87712 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and twelve |
| Binary (base 2) | 10101011010100000 |
| Octal (base 8) | 253240 |
| Hexadecimal (base 16) | 156A0 |
| Base 3 | 11110022121 |
| As time | 87712 seconds = 24 h 21 min 52 s |
Is 87712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87712 ÷ 2 = 43856) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87712 ÷ 4 = 21928) | 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 4) | 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 (87712 ÷ 8 = 10964) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87712 a prime number?
No. 87712 = × 2741, so it is divisible by 2.
What are the factors of 87712?
1, 2, 4, 8, 16, 32, 2741, 5482, 10964, 21928, 43856, 87712.
What is 87712 in binary?
10101011010100000 (hexadecimal 156A0, octal 253240).
What is the square root of 87712?
About 296.1621, exactly 4√5482.
Is 87712 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 87712?
87712 is a happy number: repeatedly adding the squares of its digits reaches 1.