The number 87039
87039 is a composite number with 12 divisors. Its prime factorisation is × 19 × 509. Divisors (12): 1, 3, 9, 19, 57, 171, 509, 1527, 4581, 9671, 29013, 87039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87039: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87039 is composite. Its prime factorisation is
- 3
The divisors add up to 132600; without 87039 itself that is 45561, so 87039 is deficient (45561 is less than 87039). Euler's totient φ(87039) = 54864 numbers up to 87039 share no factor with it.
- 4
The digits of 87039 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87039 = 3^{2} \times 19 \times 509 \]87039 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132600 |
| Euler totient φ(n) | 54864 |
| Square | 7575787521 |
| Cube | 659388970040319 |
| Square root | 295.023728 (= 3√9671) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7039 × |
87039 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and thirty-nine |
| Binary (base 2) | 10101001111111111 |
| Octal (base 8) | 251777 |
| Hexadecimal (base 16) | 153FF |
| Base 3 | 11102101200 |
| As time | 87039 seconds = 24 h 10 min 39 s |
Is 87039 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 (87039 ÷ 3 = 29013) | 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 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 | No (remainder 1) | 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 (87039 ÷ 9 = 9671) | 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 | No (remainder 7) | 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 87039 a prime number?
No. 87039 = × 19 × 509, so it is divisible by 3.
What are the factors of 87039?
1, 3, 9, 19, 57, 171, 509, 1527, 4581, 9671, 29013, 87039.
What is 87039 in binary?
10101001111111111 (hexadecimal 153FF, octal 251777).
What is the square root of 87039?
About 295.0237, exactly 3√9671.
Is 87039 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87039?
87039 is a happy number: repeatedly adding the squares of its digits reaches 1.