The number 39748
39748 is a composite number with 12 divisors. Its prime factorisation is × 19 × 523. Divisors (12): 1, 2, 4, 19, 38, 76, 523, 1046, 2092, 9937, 19874, 39748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39748 is composite. Its prime factorisation is
- 3
The divisors add up to 73360; without 39748 itself that is 33612, so 39748 is deficient (33612 is less than 39748). Euler's totient φ(39748) = 18792 numbers up to 39748 share no factor with it.
- 4
The digits of 39748 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39748 = 2^{2} \times 19 \times 523 \]39748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73360 |
| Euler totient φ(n) | 18792 |
| Square | 1579903504 |
| Cube | 62798004476992 |
| Square root | 199.369005 (= 2√9937) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9748 × |
39748 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and forty-eight |
| Binary (base 2) | 1001101101000100 |
| Octal (base 8) | 115504 |
| Hexadecimal (base 16) | 9B44 |
| Base 3 | 2000112011 |
| As time | 39748 seconds = 11 h 2 min 28 s |
Is 39748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39748 ÷ 2 = 19874) | 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 (39748 ÷ 4 = 9937) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 5) | 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 39748 a prime number?
No. 39748 = × 19 × 523, so it is divisible by 2.
What are the factors of 39748?
1, 2, 4, 19, 38, 76, 523, 1046, 2092, 9937, 19874, 39748.
What is 39748 in binary?
1001101101000100 (hexadecimal 9B44, octal 115504).
What is the square root of 39748?
About 199.3690, exactly 2√9937.
Is 39748 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 39748?
39748 is a happy number: repeatedly adding the squares of its digits reaches 1.