The number 38955
38955 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 53. Divisors (24): 1, 3, 5, 7, 15, 21, 35, 49, 53, 105, 147, 159, 245, 265, 371, 735 … 38955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38955 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 38955 itself that is 34917, so 38955 is deficient (34917 is less than 38955). Euler's totient φ(38955) = 17472 numbers up to 38955 share no factor with it.
- 4
The digits of 38955 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38955 = 3 \times 5 \times 7^{2} \times 53 \]38955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 17472 |
| Square | 1517492025 |
| Cube | 59113901833875 |
| Square root | 197.370211 (= 7√795) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8955 × |
38955 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and fifty-five |
| Binary (base 2) | 1001100000101011 |
| Octal (base 8) | 114053 |
| Hexadecimal (base 16) | 982B |
| Base 3 | 1222102210 |
| As time | 38955 seconds = 10 h 49 min 15 s |
Is 38955 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 (38955 ÷ 3 = 12985) | 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 | Yes (38955 ÷ 5 = 7791) | 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 | Yes (38955 ÷ 7 = 5565) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38955 a prime number?
No. 38955 = 3 × 5 × × 53, so it is divisible by 3.
What are the factors of 38955?
1, 3, 5, 7, 15, 21, 35, 49, 53, 105, 147, 159, 245, 265, 371, 735, 795, 1113, 1855, 2597, 5565, 7791, 12985, 38955.
What is 38955 in binary?
1001100000101011 (hexadecimal 982B, octal 114053).
What is the square root of 38955?
About 197.3702, exactly 7√795.
Is 38955 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38955?
It is a composite number with 24 divisors.