The number 87672
87672 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 281. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 281 … 87672.
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How to work it out
- 1
87672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87672 is composite. Its prime factorisation is
- 3
The divisors add up to 236880; without 87672 itself that is 149208, so 87672 is abundant (149208 is more than 87672). Euler's totient φ(87672) = 26880 numbers up to 87672 share no factor with it.
- 4
The digits of 87672 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87672 = 2^{3} \times 3 \times 13 \times 281 \]87672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 236880 |
| Euler totient φ(n) | 26880 |
| Square | 7686379584 |
| Cube | 673880270888448 |
| Square root | 296.094579 (= 2√21918) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7672 × |
87672 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and seventy-two |
| Binary (base 2) | 10101011001111000 |
| Octal (base 8) | 253170 |
| Hexadecimal (base 16) | 15678 |
| Base 3 | 11110021010 |
| As time | 87672 seconds = 24 h 21 min 12 s |
Is 87672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87672 ÷ 2 = 43836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87672 ÷ 3 = 29224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87672 ÷ 4 = 21918) | 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 (87672 ÷ 6 = 14612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (87672 ÷ 8 = 10959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87672 ÷ 12 = 7306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87672 a prime number?
No. 87672 = × 3 × 13 × 281, so it is divisible by 2.
What are the factors of 87672?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 281, 312, 562, 843, 1124, 1686, 2248, 3372, 3653, 6744, 7306, 10959, 14612, 21918, 29224, 43836, 87672.
What is 87672 in binary?
10101011001111000 (hexadecimal 15678, octal 253170).
What is the square root of 87672?
About 296.0946, exactly 2√21918.
Is 87672 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87672?
It is a composite number with 32 divisors.