The number 38827
38827 is a composite number with 4 divisors. Its prime factorisation is 41 × 947. Divisors (4): 1, 41, 947, 38827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38827: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 947, the product of two primes.
- 2
38827 is composite. Its prime factorisation is
- 3
The divisors add up to 39816; without 38827 itself that is 989, so 38827 is deficient (989 is less than 38827). Euler's totient φ(38827) = 37840 numbers up to 38827 share no factor with it.
- 4
The digits of 38827 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38827 = 41 \times 947 \]
38827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39816 |
| Euler totient φ(n) | 37840 |
| Square | 1507535929 |
| Cube | 58533097515283 |
| Square root | 197.045680 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8827 × |
38827 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and twenty-seven |
| Binary (base 2) | 1001011110101011 |
| Octal (base 8) | 113653 |
| Hexadecimal (base 16) | 97AB |
| Base 3 | 1222021001 |
| As time | 38827 seconds = 10 h 47 min 7 s |
Is 38827 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 1) | 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 1) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38827 a prime number?
No. 38827 = 41 × 947, so it is divisible by 41.
What are the factors of 38827?
1, 41, 947, 38827.
What is 38827 in binary?
1001011110101011 (hexadecimal 97AB, octal 113653).
What is the square root of 38827?
About 197.0457.
Is 38827 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38827?
38827 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 947, the product of two primes.