The number 8700
8700 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 29. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60 … 8700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8700: a Harshad number: divisible by its digit sum 15.
- 2
8700 is composite. Its prime factorisation is
- 3
The divisors add up to 26040; without 8700 itself that is 17340, so 8700 is abundant (17340 is more than 8700). Euler's totient φ(8700) = 2240 numbers up to 8700 share no factor with it.
- 4
The digits of 8700 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8700 = 2^{2} \times 3 \times 5^{2} \times 29 \]8700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 26040 |
| Euler totient φ(n) | 2240 |
| Square | 75690000 |
| Cube | 658503000000 |
| Square root | 93.273791 (= 10√87) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.7 × |
8700 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred |
| Binary (base 2) | 10000111111100 |
| Octal (base 8) | 20774 |
| Hexadecimal (base 16) | 21FC |
| Base 3 | 102221020 |
| As time | 8700 seconds = 2 h 25 min 0 s |
Is 8700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8700 ÷ 2 = 4350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8700 ÷ 3 = 2900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8700 ÷ 4 = 2175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8700 ÷ 5 = 1740) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8700 ÷ 6 = 1450) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8700 ÷ 10 = 870) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8700 ÷ 12 = 725) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8700 a prime number?
No. 8700 = × 3 × × 29, so it is divisible by 2.
What are the factors of 8700?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700.
What is 8700 in binary?
10000111111100 (hexadecimal 21FC, octal 20774).
What is the square root of 8700?
About 93.2738, exactly 10√87.
Is 8700 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8700?
8700 is a Harshad number: divisible by its digit sum 15.