The number 87376
87376 is a composite number with 20 divisors. Its prime factorisation is × 43 × 127. Divisors (20): 1, 2, 4, 8, 16, 43, 86, 127, 172, 254, 344, 508, 688, 1016, 2032, 5461 … 87376.
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How to work it out
- 1
87376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87376 is composite. Its prime factorisation is
- 3
The divisors add up to 174592; without 87376 itself that is 87216, so 87376 is deficient (87216 is less than 87376). Euler's totient φ(87376) = 42336 numbers up to 87376 share no factor with it.
- 4
The digits of 87376 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87376 = 2^{4} \times 43 \times 127 \]87376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 174592 |
| Euler totient φ(n) | 42336 |
| Square | 7634565376 |
| Cube | 667077784293376 |
| Square root | 295.594317 (= 4√5461) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 19 |
| Scientific notation | 8.7376 × |
87376 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and seventy-six |
| Binary (base 2) | 10101010101010000 |
| Octal (base 8) | 252520 |
| Hexadecimal (base 16) | 15550 |
| Base 3 | 11102212011 |
| As time | 87376 seconds = 24 h 16 min 16 s |
Is 87376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87376 ÷ 2 = 43688) | 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 (87376 ÷ 4 = 21844) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (87376 ÷ 8 = 10922) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 87376 a prime number?
No. 87376 = × 43 × 127, so it is divisible by 2.
What are the factors of 87376?
1, 2, 4, 8, 16, 43, 86, 127, 172, 254, 344, 508, 688, 1016, 2032, 5461, 10922, 21844, 43688, 87376.
What is 87376 in binary?
10101010101010000 (hexadecimal 15550, octal 252520).
What is the square root of 87376?
About 295.5943, exactly 4√5461.
Is 87376 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87376?
It is a composite number with 20 divisors.