The number 38979
38979 is a composite number with 12 divisors. Its prime factorisation is × 61 × 71. Divisors (12): 1, 3, 9, 61, 71, 183, 213, 549, 639, 4331, 12993, 38979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38979 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 38979 itself that is 19053, so 38979 is deficient (19053 is less than 38979). Euler's totient φ(38979) = 25200 numbers up to 38979 share no factor with it.
- 4
The digits of 38979 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38979 = 3^{2} \times 61 \times 71 \]38979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 25200 |
| Square | 1519362441 |
| Cube | 59223228587739 |
| Square root | 197.431001 (= 3√4331) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8979 × |
38979 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and seventy-nine |
| Binary (base 2) | 1001100001000011 |
| Octal (base 8) | 114103 |
| Hexadecimal (base 16) | 9843 |
| Base 3 | 1222110200 |
| As time | 38979 seconds = 10 h 49 min 39 s |
Is 38979 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 (38979 ÷ 3 = 12993) | 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 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 | Yes (38979 ÷ 9 = 4331) | 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 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 38979 a prime number?
No. 38979 = × 61 × 71, so it is divisible by 3.
What are the factors of 38979?
1, 3, 9, 61, 71, 183, 213, 549, 639, 4331, 12993, 38979.
What is 38979 in binary?
1001100001000011 (hexadecimal 9843, octal 114103).
What is the square root of 38979?
About 197.4310, exactly 3√4331.
Is 38979 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 38979?
It is a composite number with 12 divisors.