The number 87708
87708 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7309. Divisors (12): 1, 2, 3, 4, 6, 12, 7309, 14618, 21927, 29236, 43854, 87708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87708: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87708 is composite. Its prime factorisation is
- 3
The divisors add up to 204680; without 87708 itself that is 116972, so 87708 is abundant (116972 is more than 87708). Euler's totient φ(87708) = 29232 numbers up to 87708 share no factor with it.
- 4
The digits of 87708 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87708 = 2^{2} \times 3 \times 7309 \]87708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 204680 |
| Euler totient φ(n) | 29232 |
| Square | 7692693264 |
| Cube | 674710740798912 |
| Square root | 296.155365 (= 2√21927) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 8.7708 × |
87708 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and eight |
| Binary (base 2) | 10101011010011100 |
| Octal (base 8) | 253234 |
| Hexadecimal (base 16) | 1569C |
| Base 3 | 11110022110 |
| As time | 87708 seconds = 24 h 21 min 48 s |
Is 87708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87708 ÷ 2 = 43854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87708 ÷ 3 = 29236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87708 ÷ 4 = 21927) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87708 ÷ 6 = 14618) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87708 ÷ 12 = 7309) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87708 a prime number?
No. 87708 = × 3 × 7309, so it is divisible by 2.
What are the factors of 87708?
1, 2, 3, 4, 6, 12, 7309, 14618, 21927, 29236, 43854, 87708.
What is 87708 in binary?
10101011010011100 (hexadecimal 1569C, octal 253234).
What is the square root of 87708?
About 296.1554, exactly 2√21927.
Is 87708 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87708?
87708 is a happy number: repeatedly adding the squares of its digits reaches 1.