The number 87876
87876 is a composite number with 18 divisors. Its prime factorisation is × × 2441. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2441, 4882, 7323, 9764, 14646, 21969, 29292 … 87876.
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How to work it out
- 1
What is special about 87876: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 36.
- 2
87876 is composite. Its prime factorisation is
- 3
The divisors add up to 222222; without 87876 itself that is 134346, so 87876 is abundant (134346 is more than 87876). Euler's totient φ(87876) = 29280 numbers up to 87876 share no factor with it.
- 4
The digits of 87876 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87876 = 2^{2} \times 3^{2} \times 2441 \]87876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 222222 |
| Euler totient φ(n) | 29280 |
| Square | 7722191376 |
| Cube | 678595289357376 |
| Square root | 296.438864 (= 6√2441) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7876 × |
87876 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and seventy-six |
| Binary (base 2) | 10101011101000100 |
| Octal (base 8) | 253504 |
| Hexadecimal (base 16) | 15744 |
| Base 3 | 11110112200 |
| As time | 87876 seconds = 24 h 24 min 36 s |
Is 87876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87876 ÷ 2 = 43938) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87876 ÷ 3 = 29292) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87876 ÷ 4 = 21969) | 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 | Yes (87876 ÷ 6 = 14646) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (87876 ÷ 9 = 9764) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87876 ÷ 12 = 7323) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87876 a prime number?
No. 87876 = × × 2441, so it is divisible by 2.
What are the factors of 87876?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2441, 4882, 7323, 9764, 14646, 21969, 29292, 43938, 87876.
What is 87876 in binary?
10101011101000100 (hexadecimal 15744, octal 253504).
What is the square root of 87876?
About 296.4389, exactly 6√2441.
Is 87876 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87876?
87876 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 36.