The number 38948
38948 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 107. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 107, 182, 214, 364, 428, 749 … 38948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38948 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 38948 itself that is 45724, so 38948 is abundant (45724 is more than 38948). Euler's totient φ(38948) = 15264 numbers up to 38948 share no factor with it.
- 4
The digits of 38948 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38948 = 2^{2} \times 7 \times 13 \times 107 \]38948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 15264 |
| Square | 1516946704 |
| Cube | 59082040227392 |
| Square root | 197.352477 (= 2√9737) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8948 × |
38948 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and forty-eight |
| Binary (base 2) | 1001100000100100 |
| Octal (base 8) | 114044 |
| Hexadecimal (base 16) | 9824 |
| Base 3 | 1222102112 |
| As time | 38948 seconds = 10 h 49 min 8 s |
Is 38948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38948 ÷ 2 = 19474) | 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 (38948 ÷ 4 = 9737) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (38948 ÷ 7 = 5564) | 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 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 38948 a prime number?
No. 38948 = × 7 × 13 × 107, so it is divisible by 2.
What are the factors of 38948?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 107, 182, 214, 364, 428, 749, 1391, 1498, 2782, 2996, 5564, 9737, 19474, 38948.
What is 38948 in binary?
1001100000100100 (hexadecimal 9824, octal 114044).
What is the square root of 38948?
About 197.3525, exactly 2√9737.
Is 38948 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 38948?
It is a composite number with 24 divisors.