The number 87615
87615 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 59. Divisors (32): 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 59, 99, 135, 165, 177, 295 … 87615.
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How to work it out
- 1
What is special about 87615: a Harshad number: divisible by its digit sum 27.
- 2
87615 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 87615 itself that is 85185, so 87615 is deficient (85185 is less than 87615). Euler's totient φ(87615) = 41760 numbers up to 87615 share no factor with it.
- 4
The digits of 87615 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87615 = 3^{3} \times 5 \times 11 \times 59 \]87615 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 41760 |
| Square | 7676388225 |
| Cube | 672566754333375 |
| Square root | 295.998311 (= 3√9735) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7615 × |
87615 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and fifteen |
| Binary (base 2) | 10101011000111111 |
| Octal (base 8) | 253077 |
| Hexadecimal (base 16) | 1563F |
| Base 3 | 11110012000 |
| As time | 87615 seconds = 24 h 20 min 15 s |
Is 87615 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 (87615 ÷ 3 = 29205) | 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 | Yes (87615 ÷ 5 = 17523) | 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 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87615 ÷ 9 = 9735) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87615 ÷ 11 = 7965) | 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 87615 a prime number?
No. 87615 = × 5 × 11 × 59, so it is divisible by 3.
What are the factors of 87615?
1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 59, 99, 135, 165, 177, 295, 297, 495, 531, 649, 885, 1485, 1593, 1947, 2655, 3245, 5841, 7965, 9735, 17523, 29205, 87615.
What is 87615 in binary?
10101011000111111 (hexadecimal 1563F, octal 253077).
What is the square root of 87615?
About 295.9983, exactly 3√9735.
Is 87615 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87615?
87615 is a Harshad number: divisible by its digit sum 27.