The number 87076
87076 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1979. Divisors (12): 1, 2, 4, 11, 22, 44, 1979, 3958, 7916, 21769, 43538, 87076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87076 is composite. Its prime factorisation is
- 3
The divisors add up to 166320; without 87076 itself that is 79244, so 87076 is deficient (79244 is less than 87076). Euler's totient φ(87076) = 39560 numbers up to 87076 share no factor with it.
- 4
The digits of 87076 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87076 = 2^{2} \times 11 \times 1979 \]87076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 166320 |
| Euler totient φ(n) | 39560 |
| Square | 7582229776 |
| Cube | 660230239974976 |
| Square root | 295.086428 (= 2√21769) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7076 × |
87076 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and seventy-six |
| Binary (base 2) | 10101010000100100 |
| Octal (base 8) | 252044 |
| Hexadecimal (base 16) | 15424 |
| Base 3 | 11102110001 |
| As time | 87076 seconds = 24 h 11 min 16 s |
Is 87076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87076 ÷ 2 = 43538) | 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 (87076 ÷ 4 = 21769) | 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 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 1) | 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 | Yes (87076 ÷ 11 = 7916) | 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 87076 a prime number?
No. 87076 = × 11 × 1979, so it is divisible by 2.
What are the factors of 87076?
1, 2, 4, 11, 22, 44, 1979, 3958, 7916, 21769, 43538, 87076.
What is 87076 in binary?
10101010000100100 (hexadecimal 15424, octal 252044).
What is the square root of 87076?
About 295.0864, exactly 2√21769.
Is 87076 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87076?
It is a composite number with 12 divisors.