The number 38080
38080 is a composite number with 56 divisors. Its prime factorisation is × 5 × 7 × 17. Divisors (56): 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 32, 34, 35, 40 … 38080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38080 is composite. Its prime factorisation is
- 3
The divisors add up to 109728; without 38080 itself that is 71648, so 38080 is abundant (71648 is more than 38080). Euler's totient φ(38080) = 12288 numbers up to 38080 share no factor with it.
- 4
The digits of 38080 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38080 = 2^{6} \times 5 \times 7 \times 17 \]38080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 109728 |
| Euler totient φ(n) | 12288 |
| Square | 1450086400 |
| Cube | 55219290112000 |
| Square root | 195.140975 (= 8√595) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.808 × |
38080 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and eighty |
| Binary (base 2) | 1001010011000000 |
| Octal (base 8) | 112300 |
| Hexadecimal (base 16) | 94C0 |
| Base 3 | 1221020101 |
| As time | 38080 seconds = 10 h 34 min 40 s |
Is 38080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38080 ÷ 2 = 19040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38080 ÷ 4 = 9520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38080 ÷ 5 = 7616) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38080 ÷ 7 = 5440) | 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 (38080 ÷ 8 = 4760) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38080 ÷ 10 = 3808) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38080 a prime number?
No. 38080 = × 5 × 7 × 17, so it is divisible by 2.
What are the factors of 38080?
1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 32, 34, 35, 40, 56, 64, 68, 70, 80, 85, 112, 119, 136, 140, 160, 170, 224, 238, 272, 280, 320, 340, 448, 476, 544, 560, 595, 680, 952, 1088, 1120, 1190, 1360, 1904, 2240, 2380, 2720, 3808, 4760, 5440, 7616, 9520, 19040, 38080.
What is 38080 in binary?
1001010011000000 (hexadecimal 94C0, octal 112300).
What is the square root of 38080?
About 195.1410, exactly 8√595.
Is 38080 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38080?
It is a composite number with 56 divisors.