The number 38907
38907 is a composite number with 16 divisors. Its prime factorisation is × 11 × 131. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 131, 297, 393, 1179, 1441, 3537, 4323, 12969, 38907.
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How to work it out
- 1
What is special about 38907: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
38907 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 38907 itself that is 24453, so 38907 is deficient (24453 is less than 38907). Euler's totient φ(38907) = 23400 numbers up to 38907 share no factor with it.
- 4
The digits of 38907 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38907 = 3^{3} \times 11 \times 131 \]38907 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 23400 |
| Square | 1513754649 |
| Cube | 58895652128643 |
| Square root | 197.248574 (= 3√4323) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.8907 × |
38907 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and seven |
| Binary (base 2) | 1001011111111011 |
| Octal (base 8) | 113773 |
| Hexadecimal (base 16) | 97FB |
| Base 3 | 1222101000 |
| As time | 38907 seconds = 10 h 48 min 27 s |
Is 38907 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 (38907 ÷ 3 = 12969) | 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 1) | 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 (38907 ÷ 9 = 4323) | 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 | Yes (38907 ÷ 11 = 3537) | 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 38907 a prime number?
No. 38907 = × 11 × 131, so it is divisible by 3.
What are the factors of 38907?
1, 3, 9, 11, 27, 33, 99, 131, 297, 393, 1179, 1441, 3537, 4323, 12969, 38907.
What is 38907 in binary?
1001011111111011 (hexadecimal 97FB, octal 113773).
What is the square root of 38907?
About 197.2486, exactly 3√4323.
Is 38907 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38907?
38907 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.