The number 87549
87549 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 379. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 231, 379, 1137, 2653, 4169, 7959, 12507, 29183, 87549.
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How to work it out
- 1
What is special about 87549: a Harshad number: divisible by its digit sum 33.
- 2
87549 is composite. Its prime factorisation is
- 3
The divisors add up to 145920; without 87549 itself that is 58371, so 87549 is deficient (58371 is less than 87549). Euler's totient φ(87549) = 45360 numbers up to 87549 share no factor with it.
- 4
The digits of 87549 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87549 = 3 \times 7 \times 11 \times 379 \]
87549 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145920 |
| Euler totient φ(n) | 45360 |
| Square | 7664827401 |
| Cube | 671047974130149 |
| Square root | 295.886803 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.7549 × |
87549 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and forty-nine |
| Binary (base 2) | 10101010111111101 |
| Octal (base 8) | 252775 |
| Hexadecimal (base 16) | 155FD |
| Base 3 | 11110002120 |
| As time | 87549 seconds = 24 h 19 min 9 s |
Is 87549 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 (87549 ÷ 3 = 29183) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (87549 ÷ 7 = 12507) | 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 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87549 ÷ 11 = 7959) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87549 a prime number?
No. 87549 = 3 × 7 × 11 × 379, so it is divisible by 3.
What are the factors of 87549?
1, 3, 7, 11, 21, 33, 77, 231, 379, 1137, 2653, 4169, 7959, 12507, 29183, 87549.
What is 87549 in binary?
10101010111111101 (hexadecimal 155FD, octal 252775).
What is the square root of 87549?
About 295.8868.
Is 87549 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 87549?
87549 is a Harshad number: divisible by its digit sum 33.