The number 87555
87555 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 449. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 449, 1347, 2245, 5837, 6735, 17511, 29185, 87555.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87555: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87555 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 87555 itself that is 63645, so 87555 is deficient (63645 is less than 87555). Euler's totient φ(87555) = 43008 numbers up to 87555 share no factor with it.
- 4
The digits of 87555 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87555 = 3 \times 5 \times 13 \times 449 \]
87555 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 43008 |
| Square | 7665878025 |
| Cube | 671185950478875 |
| Square root | 295.896942 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7555 × |
87555 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and fifty-five |
| Binary (base 2) | 10101011000000011 |
| Octal (base 8) | 253003 |
| Hexadecimal (base 16) | 15603 |
| Base 3 | 11110002210 |
| As time | 87555 seconds = 24 h 19 min 15 s |
Is 87555 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 (87555 ÷ 3 = 29185) | 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 (87555 ÷ 5 = 17511) | 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 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 87555 a prime number?
No. 87555 = 3 × 5 × 13 × 449, so it is divisible by 3.
What are the factors of 87555?
1, 3, 5, 13, 15, 39, 65, 195, 449, 1347, 2245, 5837, 6735, 17511, 29185, 87555.
What is 87555 in binary?
10101011000000011 (hexadecimal 15603, octal 253003).
What is the square root of 87555?
About 295.8969.
Is 87555 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87555?
87555 is a happy number: repeatedly adding the squares of its digits reaches 1.