The number 39488
39488 is a composite number with 14 divisors. Its prime factorisation is × 617. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 617, 1234, 2468, 4936, 9872, 19744, 39488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39488: a Harshad number: divisible by its digit sum 32.
- 2
39488 is composite. Its prime factorisation is
- 3
The divisors add up to 78486; without 39488 itself that is 38998, so 39488 is deficient (38998 is less than 39488). Euler's totient φ(39488) = 19712 numbers up to 39488 share no factor with it.
- 4
The digits of 39488 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39488 = 2^{6} \times 617 \]39488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 78486 |
| Euler totient φ(n) | 19712 |
| Square | 1559302144 |
| Cube | 61573723062272 |
| Square root | 198.715878 (= 8√617) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9488 × |
39488 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and eighty-eight |
| Binary (base 2) | 1001101001000000 |
| Octal (base 8) | 115100 |
| Hexadecimal (base 16) | 9A40 |
| Base 3 | 2000011112 |
| As time | 39488 seconds = 10 h 58 min 8 s |
Is 39488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39488 ÷ 2 = 19744) | 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 (39488 ÷ 4 = 9872) | 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 | 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 (39488 ÷ 8 = 4936) | 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 9) | 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 39488 a prime number?
No. 39488 = × 617, so it is divisible by 2.
What are the factors of 39488?
1, 2, 4, 8, 16, 32, 64, 617, 1234, 2468, 4936, 9872, 19744, 39488.
What is 39488 in binary?
1001101001000000 (hexadecimal 9A40, octal 115100).
What is the square root of 39488?
About 198.7159, exactly 8√617.
Is 39488 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 39488?
39488 is a Harshad number: divisible by its digit sum 32.