The number 38840
38840 is a composite number with 16 divisors. Its prime factorisation is × 5 × 971. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 971, 1942, 3884, 4855, 7768, 9710, 19420, 38840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38840 is composite. Its prime factorisation is
- 3
The divisors add up to 87480; without 38840 itself that is 48640, so 38840 is abundant (48640 is more than 38840). Euler's totient φ(38840) = 15520 numbers up to 38840 share no factor with it.
- 4
The digits of 38840 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38840 = 2^{3} \times 5 \times 971 \]38840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87480 |
| Euler totient φ(n) | 15520 |
| Square | 1508545600 |
| Cube | 58591911104000 |
| Square root | 197.078664 (= 2√9710) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.884 × |
38840 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and forty |
| Binary (base 2) | 1001011110111000 |
| Octal (base 8) | 113670 |
| Hexadecimal (base 16) | 97B8 |
| Base 3 | 1222021112 |
| As time | 38840 seconds = 10 h 47 min 20 s |
Is 38840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38840 ÷ 2 = 19420) | 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 (38840 ÷ 4 = 9710) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38840 ÷ 5 = 7768) | 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 4) | 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 (38840 ÷ 8 = 4855) | 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 (38840 ÷ 10 = 3884) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 38840 a prime number?
No. 38840 = × 5 × 971, so it is divisible by 2.
What are the factors of 38840?
1, 2, 4, 5, 8, 10, 20, 40, 971, 1942, 3884, 4855, 7768, 9710, 19420, 38840.
What is 38840 in binary?
1001011110111000 (hexadecimal 97B8, octal 113670).
What is the square root of 38840?
About 197.0787, exactly 2√9710.
Is 38840 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38840?
It is a composite number with 16 divisors.