The number 38960
38960 is a composite number with 20 divisors. Its prime factorisation is × 5 × 487. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 487, 974, 1948, 2435, 3896, 4870 … 38960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38960: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38960 is composite. Its prime factorisation is
- 3
The divisors add up to 90768; without 38960 itself that is 51808, so 38960 is abundant (51808 is more than 38960). Euler's totient φ(38960) = 15552 numbers up to 38960 share no factor with it.
- 4
The digits of 38960 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38960 = 2^{4} \times 5 \times 487 \]38960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 90768 |
| Euler totient φ(n) | 15552 |
| Square | 1517881600 |
| Cube | 59136667136000 |
| Square root | 197.382877 (= 4√2435) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.896 × |
38960 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and sixty |
| Binary (base 2) | 1001100000110000 |
| Octal (base 8) | 114060 |
| Hexadecimal (base 16) | 9830 |
| Base 3 | 1222102222 |
| As time | 38960 seconds = 10 h 49 min 20 s |
Is 38960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38960 ÷ 2 = 19480) | 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 | Yes (38960 ÷ 4 = 9740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38960 ÷ 5 = 7792) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (38960 ÷ 8 = 4870) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38960 ÷ 10 = 3896) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38960 a prime number?
No. 38960 = × 5 × 487, so it is divisible by 2.
What are the factors of 38960?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 487, 974, 1948, 2435, 3896, 4870, 7792, 9740, 19480, 38960.
What is 38960 in binary?
1001100000110000 (hexadecimal 9830, octal 114060).
What is the square root of 38960?
About 197.3829, exactly 4√2435.
Is 38960 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38960?
38960 is a happy number: repeatedly adding the squares of its digits reaches 1.