The number 87507
87507 is a composite number with 16 divisors. Its prime factorisation is × 7 × 463. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 463, 1389, 3241, 4167, 9723, 12501, 29169, 87507.
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How to work it out
- 1
What is special about 87507: a Harshad number: divisible by its digit sum 27.
- 2
87507 is composite. Its prime factorisation is
- 3
The divisors add up to 148480; without 87507 itself that is 60973, so 87507 is deficient (60973 is less than 87507). Euler's totient φ(87507) = 49896 numbers up to 87507 share no factor with it.
- 4
The digits of 87507 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87507 = 3^{3} \times 7 \times 463 \]87507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 148480 |
| Euler totient φ(n) | 49896 |
| Square | 7657475049 |
| Cube | 670082669112843 |
| Square root | 295.815821 (= 3√9723) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.7507 × |
87507 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and seven |
| Binary (base 2) | 10101010111010011 |
| Octal (base 8) | 252723 |
| Hexadecimal (base 16) | 155D3 |
| Base 3 | 11110001000 |
| As time | 87507 seconds = 24 h 18 min 27 s |
Is 87507 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87507 ÷ 3 = 29169) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87507 ÷ 7 = 12501) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87507 ÷ 9 = 9723) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87507 a prime number?
No. 87507 = × 7 × 463, so it is divisible by 3.
What are the factors of 87507?
1, 3, 7, 9, 21, 27, 63, 189, 463, 1389, 3241, 4167, 9723, 12501, 29169, 87507.
What is 87507 in binary?
10101010111010011 (hexadecimal 155D3, octal 252723).
What is the square root of 87507?
About 295.8158, exactly 3√9723.
Is 87507 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87507?
87507 is a Harshad number: divisible by its digit sum 27.