The number 38790
38790 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 431. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 431, 862, 1293, 2155 … 38790.
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How to work it out
- 1
What is special about 38790: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38790 is composite. Its prime factorisation is
- 3
The divisors add up to 101088; without 38790 itself that is 62298, so 38790 is abundant (62298 is more than 38790). Euler's totient φ(38790) = 10320 numbers up to 38790 share no factor with it.
- 4
The digits of 38790 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38790 = 2 \times 3^{2} \times 5 \times 431 \]38790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 101088 |
| Euler totient φ(n) | 10320 |
| Square | 1504664100 |
| Cube | 58365920439000 |
| Square root | 196.951771 (= 3√4310) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.879 × |
38790 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and ninety |
| Binary (base 2) | 1001011110000110 |
| Octal (base 8) | 113606 |
| Hexadecimal (base 16) | 9786 |
| Base 3 | 1222012200 |
| As time | 38790 seconds = 10 h 46 min 30 s |
Is 38790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38790 ÷ 2 = 19395) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38790 ÷ 3 = 12930) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38790 ÷ 5 = 7758) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38790 ÷ 6 = 6465) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38790 ÷ 9 = 4310) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38790 ÷ 10 = 3879) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38790 a prime number?
No. 38790 = 2 × × 5 × 431, so it is divisible by 2.
What are the factors of 38790?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 431, 862, 1293, 2155, 2586, 3879, 4310, 6465, 7758, 12930, 19395, 38790.
What is 38790 in binary?
1001011110000110 (hexadecimal 9786, octal 113606).
What is the square root of 38790?
About 196.9518, exactly 3√4310.
Is 38790 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38790?
38790 is a happy number: repeatedly adding the squares of its digits reaches 1.