The number 39988
39988 is a composite number with 12 divisors. Its prime factorisation is × 13 × 769. Divisors (12): 1, 2, 4, 13, 26, 52, 769, 1538, 3076, 9997, 19994, 39988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39988 is composite. Its prime factorisation is
- 3
The divisors add up to 75460; without 39988 itself that is 35472, so 39988 is deficient (35472 is less than 39988). Euler's totient φ(39988) = 18432 numbers up to 39988 share no factor with it.
- 4
The digits of 39988 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39988 = 2^{2} \times 13 \times 769 \]39988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75460 |
| Euler totient φ(n) | 18432 |
| Square | 1599040144 |
| Cube | 63942417278272 |
| Square root | 199.969998 (= 2√9997) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 181 |
| Scientific notation | 3.9988 × |
39988 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and eighty-eight |
| Binary (base 2) | 1001110000110100 |
| Octal (base 8) | 116064 |
| Hexadecimal (base 16) | 9C34 |
| Base 3 | 2000212001 |
| As time | 39988 seconds = 11 h 6 min 28 s |
Is 39988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39988 ÷ 2 = 19994) | 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 (39988 ÷ 4 = 9997) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 39988 a prime number?
No. 39988 = × 13 × 769, so it is divisible by 2.
What are the factors of 39988?
1, 2, 4, 13, 26, 52, 769, 1538, 3076, 9997, 19994, 39988.
What is 39988 in binary?
1001110000110100 (hexadecimal 9C34, octal 116064).
What is the square root of 39988?
About 199.9700, exactly 2√9997.
Is 39988 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 39988?
It is a composite number with 12 divisors.