The number 39492
39492 is a composite number with 18 divisors. Its prime factorisation is × × 1097. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1097, 2194, 3291, 4388, 6582, 9873, 13164 … 39492.
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How to work it out
- 1
39492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39492 is composite. Its prime factorisation is
- 3
The divisors add up to 99918; without 39492 itself that is 60426, so 39492 is abundant (60426 is more than 39492). Euler's totient φ(39492) = 13152 numbers up to 39492 share no factor with it.
- 4
The digits of 39492 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39492 = 2^{2} \times 3^{2} \times 1097 \]39492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 99918 |
| Euler totient φ(n) | 13152 |
| Square | 1559618064 |
| Cube | 61592436583488 |
| Square root | 198.725942 (= 6√1097) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9492 × |
39492 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and ninety-two |
| Binary (base 2) | 1001101001000100 |
| Octal (base 8) | 115104 |
| Hexadecimal (base 16) | 9A44 |
| Base 3 | 2000011200 |
| As time | 39492 seconds = 10 h 58 min 12 s |
Is 39492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39492 ÷ 2 = 19746) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39492 ÷ 3 = 13164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39492 ÷ 4 = 9873) | 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 (39492 ÷ 6 = 6582) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39492 ÷ 9 = 4388) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39492 ÷ 12 = 3291) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39492 a prime number?
No. 39492 = × × 1097, so it is divisible by 2.
What are the factors of 39492?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1097, 2194, 3291, 4388, 6582, 9873, 13164, 19746, 39492.
What is 39492 in binary?
1001101001000100 (hexadecimal 9A44, octal 115104).
What is the square root of 39492?
About 198.7259, exactly 6√1097.
Is 39492 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39492?
It is a composite number with 18 divisors.