The number 39672
39672 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 29. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 29, 36, 38, 57, 58 … 39672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39672 is composite. Its prime factorisation is
- 3
The divisors add up to 117000; without 39672 itself that is 77328, so 39672 is abundant (77328 is more than 39672). Euler's totient φ(39672) = 12096 numbers up to 39672 share no factor with it.
- 4
The digits of 39672 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39672 = 2^{3} \times 3^{2} \times 19 \times 29 \]39672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 117000 |
| Euler totient φ(n) | 12096 |
| Square | 1573867584 |
| Cube | 62438474792448 |
| Square root | 199.178312 (= 6√1102) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.9672 × |
39672 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand six hundred and seventy-two |
| Binary (base 2) | 1001101011111000 |
| Octal (base 8) | 115370 |
| Hexadecimal (base 16) | 9AF8 |
| Base 3 | 2000102100 |
| As time | 39672 seconds = 11 h 1 min 12 s |
Is 39672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39672 ÷ 2 = 19836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39672 ÷ 3 = 13224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39672 ÷ 4 = 9918) | 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 (39672 ÷ 6 = 6612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (39672 ÷ 8 = 4959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39672 ÷ 9 = 4408) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39672 ÷ 12 = 3306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39672 a prime number?
No. 39672 = × × 19 × 29, so it is divisible by 2.
What are the factors of 39672?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 29, 36, 38, 57, 58, 72, 76, 87, 114, 116, 152, 171, 174, 228, 232, 261, 342, 348, 456, 522, 551, 684, 696, 1044, 1102, 1368, 1653, 2088, 2204, 3306, 4408, 4959, 6612, 9918, 13224, 19836, 39672.
What is 39672 in binary?
1001101011111000 (hexadecimal 9AF8, octal 115370).
What is the square root of 39672?
About 199.1783, exactly 6√1102.
Is 39672 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39672?
It is a composite number with 48 divisors.