The number 38480
38480 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 37. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 37, 40, 52, 65, 74, 80 … 38480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38480 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 38480 itself that is 60472, so 38480 is abundant (60472 is more than 38480). Euler's totient φ(38480) = 13824 numbers up to 38480 share no factor with it.
- 4
The digits of 38480 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38480 = 2^{4} \times 5 \times 13 \times 37 \]38480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 13824 |
| Square | 1480710400 |
| Cube | 56977736192000 |
| Square root | 196.163197 (= 4√2405) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.848 × |
38480 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and eighty |
| Binary (base 2) | 1001011001010000 |
| Octal (base 8) | 113120 |
| Hexadecimal (base 16) | 9650 |
| Base 3 | 1221210012 |
| As time | 38480 seconds = 10 h 41 min 20 s |
Is 38480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38480 ÷ 2 = 19240) | 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 (38480 ÷ 4 = 9620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38480 ÷ 5 = 7696) | 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 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 | Yes (38480 ÷ 8 = 4810) | 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 (38480 ÷ 10 = 3848) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 38480 a prime number?
No. 38480 = × 5 × 13 × 37, so it is divisible by 2.
What are the factors of 38480?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 37, 40, 52, 65, 74, 80, 104, 130, 148, 185, 208, 260, 296, 370, 481, 520, 592, 740, 962, 1040, 1480, 1924, 2405, 2960, 3848, 4810, 7696, 9620, 19240, 38480.
What is 38480 in binary?
1001011001010000 (hexadecimal 9650, octal 113120).
What is the square root of 38480?
About 196.1632, exactly 4√2405.
Is 38480 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38480?
It is a composite number with 40 divisors.