The number 87412
87412 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 1681, 2132, 3362, 6724, 21853 … 87412.
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How to work it out
- 1
87412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87412 is composite. Its prime factorisation is
- 3
The divisors add up to 168854; without 87412 itself that is 81442, so 87412 is deficient (81442 is less than 87412). Euler's totient φ(87412) = 39360 numbers up to 87412 share no factor with it.
- 4
The digits of 87412 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87412 = 2^{2} \times 13 \times 41^{2} \]87412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 168854 |
| Euler totient φ(n) | 39360 |
| Square | 7640857744 |
| Cube | 667902657118528 |
| Square root | 295.655205 (= 82√13) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7412 × |
87412 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and twelve |
| Binary (base 2) | 10101010101110100 |
| Octal (base 8) | 252564 |
| Hexadecimal (base 16) | 15574 |
| Base 3 | 11102220111 |
| As time | 87412 seconds = 24 h 16 min 52 s |
Is 87412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87412 ÷ 2 = 43706) | 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 (87412 ÷ 4 = 21853) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 87412 a prime number?
No. 87412 = × 13 × , so it is divisible by 2.
What are the factors of 87412?
1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 1681, 2132, 3362, 6724, 21853, 43706, 87412.
What is 87412 in binary?
10101010101110100 (hexadecimal 15574, octal 252564).
What is the square root of 87412?
About 295.6552, exactly 82√13.
Is 87412 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87412?
It is a composite number with 18 divisors.