The number 39975
39975 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 41. Divisors (24): 1, 3, 5, 13, 15, 25, 39, 41, 65, 75, 123, 195, 205, 325, 533, 615 … 39975.
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How to work it out
- 1
39975 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39975 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 39975 itself that is 32937, so 39975 is deficient (32937 is less than 39975). Euler's totient φ(39975) = 19200 numbers up to 39975 share no factor with it.
- 4
The digits of 39975 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39975 = 3 \times 5^{2} \times 13 \times 41 \]39975 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 19200 |
| Square | 1598000625 |
| Cube | 63880074984375 |
| Square root | 199.937490 (= 5√1599) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9975 × |
39975 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and seventy-five |
| Binary (base 2) | 1001110000100111 |
| Octal (base 8) | 116047 |
| Hexadecimal (base 16) | 9C27 |
| Base 3 | 2000211120 |
| As time | 39975 seconds = 11 h 6 min 15 s |
Is 39975 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39975 ÷ 3 = 13325) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39975 ÷ 5 = 7995) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39975 a prime number?
No. 39975 = 3 × × 13 × 41, so it is divisible by 3.
What are the factors of 39975?
1, 3, 5, 13, 15, 25, 39, 41, 65, 75, 123, 195, 205, 325, 533, 615, 975, 1025, 1599, 2665, 3075, 7995, 13325, 39975.
What is 39975 in binary?
1001110000100111 (hexadecimal 9C27, octal 116047).
What is the square root of 39975?
About 199.9375, exactly 5√1599.
Is 39975 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 39975?
It is a composite number with 24 divisors.