The number 87059
87059 is a composite number with 4 divisors. Its prime factorisation is 7 × 12437. Divisors (4): 1, 7, 12437, 87059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87059: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 12437, the product of two primes.
- 2
87059 is composite. Its prime factorisation is
- 3
The divisors add up to 99504; without 87059 itself that is 12445, so 87059 is deficient (12445 is less than 87059). Euler's totient φ(87059) = 74616 numbers up to 87059 share no factor with it.
- 4
The digits of 87059 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87059 = 7 \times 12437 \]
87059 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 99504 |
| Euler totient φ(n) | 74616 |
| Square | 7579269481 |
| Cube | 659843621746379 |
| Square root | 295.057621 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7059 × |
87059 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and fifty-nine |
| Binary (base 2) | 10101010000010011 |
| Octal (base 8) | 252023 |
| Hexadecimal (base 16) | 15413 |
| Base 3 | 11102102102 |
| As time | 87059 seconds = 24 h 10 min 59 s |
Is 87059 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87059 ÷ 7 = 12437) | 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 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87059 a prime number?
No. 87059 = 7 × 12437, so it is divisible by 7.
What are the factors of 87059?
1, 7, 12437, 87059.
What is 87059 in binary?
10101010000010011 (hexadecimal 15413, octal 252023).
What is the square root of 87059?
About 295.0576.
Is 87059 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87059?
87059 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 12437, the product of two primes.