The number 87827
87827 is a composite number with 4 divisors. Its prime factorisation is 71 × 1237. Divisors (4): 1, 71, 1237, 87827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87827: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 1237, the product of two primes.
- 2
87827 is composite. Its prime factorisation is
- 3
The divisors add up to 89136; without 87827 itself that is 1309, so 87827 is deficient (1309 is less than 87827). Euler's totient φ(87827) = 86520 numbers up to 87827 share no factor with it.
- 4
The digits of 87827 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87827 = 71 \times 1237 \]
87827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 89136 |
| Euler totient φ(n) | 86520 |
| Square | 7713581929 |
| Cube | 677460760078283 |
| Square root | 296.356205 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7827 × |
87827 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and twenty-seven |
| Binary (base 2) | 10101011100010011 |
| Octal (base 8) | 253423 |
| Hexadecimal (base 16) | 15713 |
| Base 3 | 11110110212 |
| As time | 87827 seconds = 24 h 23 min 47 s |
Is 87827 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 2) | 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 | No (remainder 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 87827 a prime number?
No. 87827 = 71 × 1237, so it is divisible by 71.
What are the factors of 87827?
1, 71, 1237, 87827.
What is 87827 in binary?
10101011100010011 (hexadecimal 15713, octal 253423).
What is the square root of 87827?
About 296.3562.
Is 87827 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 87827?
87827 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 1237, the product of two primes.