The number 38120
38120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 953. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 953, 1906, 3812, 4765, 7624, 9530, 19060, 38120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38120 is composite. Its prime factorisation is
- 3
The divisors add up to 85860; without 38120 itself that is 47740, so 38120 is abundant (47740 is more than 38120). Euler's totient φ(38120) = 15232 numbers up to 38120 share no factor with it.
- 4
The digits of 38120 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38120 = 2^{3} \times 5 \times 953 \]38120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85860 |
| Euler totient φ(n) | 15232 |
| Square | 1453134400 |
| Cube | 55393483328000 |
| Square root | 195.243438 (= 2√9530) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.812 × |
38120 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and twenty |
| Binary (base 2) | 1001010011101000 |
| Octal (base 8) | 112350 |
| Hexadecimal (base 16) | 94E8 |
| Base 3 | 1221021212 |
| As time | 38120 seconds = 10 h 35 min 20 s |
Is 38120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38120 ÷ 2 = 19060) | 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 (38120 ÷ 4 = 9530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38120 ÷ 5 = 7624) | 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 (38120 ÷ 8 = 4765) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38120 ÷ 10 = 3812) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 38120 a prime number?
No. 38120 = × 5 × 953, so it is divisible by 2.
What are the factors of 38120?
1, 2, 4, 5, 8, 10, 20, 40, 953, 1906, 3812, 4765, 7624, 9530, 19060, 38120.
What is 38120 in binary?
1001010011101000 (hexadecimal 94E8, octal 112350).
What is the square root of 38120?
About 195.2434, exactly 2√9530.
Is 38120 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 38120?
It is a composite number with 16 divisors.