The number 87700
87700 is a composite number with 18 divisors. Its prime factorisation is × × 877. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 877, 1754, 3508, 4385, 8770, 17540, 21925 … 87700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87700 is composite. Its prime factorisation is
- 3
The divisors add up to 190526; without 87700 itself that is 102826, so 87700 is abundant (102826 is more than 87700). Euler's totient φ(87700) = 35040 numbers up to 87700 share no factor with it.
- 4
The digits of 87700 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87700 = 2^{2} \times 5^{2} \times 877 \]87700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 190526 |
| Euler totient φ(n) | 35040 |
| Square | 7691290000 |
| Cube | 674526133000000 |
| Square root | 296.141858 (= 10√877) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.77 × |
87700 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred |
| Binary (base 2) | 10101011010010100 |
| Octal (base 8) | 253224 |
| Hexadecimal (base 16) | 15694 |
| Base 3 | 11110022011 |
| As time | 87700 seconds = 24 h 21 min 40 s |
Is 87700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87700 ÷ 2 = 43850) | 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 (87700 ÷ 4 = 21925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87700 ÷ 5 = 17540) | 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 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 | No (remainder 4) | 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 | Yes (87700 ÷ 10 = 8770) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87700 a prime number?
No. 87700 = × × 877, so it is divisible by 2.
What are the factors of 87700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 877, 1754, 3508, 4385, 8770, 17540, 21925, 43850, 87700.
What is 87700 in binary?
10101011010010100 (hexadecimal 15694, octal 253224).
What is the square root of 87700?
About 296.1419, exactly 10√877.
Is 87700 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87700?
It is a composite number with 18 divisors.