The number 32740
32740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1637. Divisors (12): 1, 2, 4, 5, 10, 20, 1637, 3274, 6548, 8185, 16370, 32740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32740 is composite. Its prime factorisation is
- 3
The divisors add up to 68796; without 32740 itself that is 36056, so 32740 is abundant (36056 is more than 32740). Euler's totient φ(32740) = 13088 numbers up to 32740 share no factor with it.
- 4
The digits of 32740 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32740 = 2^{2} \times 5 \times 1637 \]32740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68796 |
| Euler totient φ(n) | 13088 |
| Square | 1071907600 |
| Cube | 35094254824000 |
| Square root | 180.941980 (= 2√8185) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.274 × |
32740 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and forty |
| Binary (base 2) | 111111111100100 |
| Octal (base 8) | 77744 |
| Hexadecimal (base 16) | 7FE4 |
| Base 3 | 1122220121 |
| As time | 32740 seconds = 9 h 5 min 40 s |
Is 32740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32740 ÷ 2 = 16370) | 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 (32740 ÷ 4 = 8185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32740 ÷ 5 = 6548) | 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32740 ÷ 10 = 3274) | 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 32740 a prime number?
No. 32740 = × 5 × 1637, so it is divisible by 2.
What are the factors of 32740?
1, 2, 4, 5, 10, 20, 1637, 3274, 6548, 8185, 16370, 32740.
What is 32740 in binary?
111111111100100 (hexadecimal 7FE4, octal 77744).
What is the square root of 32740?
About 180.9420, exactly 2√8185.
Is 32740 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32740?
It is a composite number with 12 divisors.