The number 40827
40827 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 439. Divisors (8): 1, 3, 31, 93, 439, 1317, 13609, 40827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40827: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40827 is composite. Its prime factorisation is
- 3
The divisors add up to 56320; without 40827 itself that is 15493, so 40827 is deficient (15493 is less than 40827). Euler's totient φ(40827) = 26280 numbers up to 40827 share no factor with it.
- 4
The digits of 40827 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40827 = 3 \times 31 \times 439 \]
40827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56320 |
| Euler totient φ(n) | 26280 |
| Square | 1666843929 |
| Cube | 68052237089283 |
| Square root | 202.056923 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0827 × |
40827 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and twenty-seven |
| Binary (base 2) | 1001111101111011 |
| Octal (base 8) | 117573 |
| Hexadecimal (base 16) | 9F7B |
| Base 3 | 2002000010 |
| As time | 40827 seconds = 11 h 20 min 27 s |
Is 40827 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 (40827 ÷ 3 = 13609) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 40827 a prime number?
No. 40827 = 3 × 31 × 439, so it is divisible by 3.
What are the factors of 40827?
1, 3, 31, 93, 439, 1317, 13609, 40827.
What is 40827 in binary?
1001111101111011 (hexadecimal 9F7B, octal 117573).
What is the square root of 40827?
About 202.0569.
Is 40827 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40827?
40827 is a happy number: repeatedly adding the squares of its digits reaches 1.