The number 39972
39972 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3331. Divisors (12): 1, 2, 3, 4, 6, 12, 3331, 6662, 9993, 13324, 19986, 39972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39972 is composite. Its prime factorisation is
- 3
The divisors add up to 93296; without 39972 itself that is 53324, so 39972 is abundant (53324 is more than 39972). Euler's totient φ(39972) = 13320 numbers up to 39972 share no factor with it.
- 4
The digits of 39972 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39972 = 2^{2} \times 3 \times 3331 \]39972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93296 |
| Euler totient φ(n) | 13320 |
| Square | 1597760784 |
| Cube | 63865694058048 |
| Square root | 199.929988 (= 2√9993) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9972 × |
39972 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and seventy-two |
| Binary (base 2) | 1001110000100100 |
| Octal (base 8) | 116044 |
| Hexadecimal (base 16) | 9C24 |
| Base 3 | 2000211110 |
| As time | 39972 seconds = 11 h 6 min 12 s |
Is 39972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39972 ÷ 2 = 19986) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39972 ÷ 3 = 13324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39972 ÷ 4 = 9993) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (39972 ÷ 6 = 6662) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (39972 ÷ 12 = 3331) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39972 a prime number?
No. 39972 = × 3 × 3331, so it is divisible by 2.
What are the factors of 39972?
1, 2, 3, 4, 6, 12, 3331, 6662, 9993, 13324, 19986, 39972.
What is 39972 in binary?
1001110000100100 (hexadecimal 9C24, octal 116044).
What is the square root of 39972?
About 199.9300, exactly 2√9993.
Is 39972 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 39972?
It is a composite number with 12 divisors.