The number 39472
39472 is a composite number with 10 divisors. Its prime factorisation is × 2467. Divisors (10): 1, 2, 4, 8, 16, 2467, 4934, 9868, 19736, 39472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39472 is composite. Its prime factorisation is
- 3
The divisors add up to 76508; without 39472 itself that is 37036, so 39472 is deficient (37036 is less than 39472). Euler's totient φ(39472) = 19728 numbers up to 39472 share no factor with it.
- 4
The digits of 39472 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39472 = 2^{4} \times 2467 \]39472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 76508 |
| Euler totient φ(n) | 19728 |
| Square | 1558038784 |
| Cube | 61498906882048 |
| Square root | 198.675615 (= 4√2467) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9472 × |
39472 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and seventy-two |
| Binary (base 2) | 1001101000110000 |
| Octal (base 8) | 115060 |
| Hexadecimal (base 16) | 9A30 |
| Base 3 | 2000010221 |
| As time | 39472 seconds = 10 h 57 min 52 s |
Is 39472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39472 ÷ 2 = 19736) | 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 (39472 ÷ 4 = 9868) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (39472 ÷ 8 = 4934) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 39472 a prime number?
No. 39472 = × 2467, so it is divisible by 2.
What are the factors of 39472?
1, 2, 4, 8, 16, 2467, 4934, 9868, 19736, 39472.
What is 39472 in binary?
1001101000110000 (hexadecimal 9A30, octal 115060).
What is the square root of 39472?
About 198.6756, exactly 4√2467.
Is 39472 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 39472?
It is a composite number with 10 divisors.