The number 32840
32840 is a composite number with 16 divisors. Its prime factorisation is × 5 × 821. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 821, 1642, 3284, 4105, 6568, 8210, 16420, 32840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32840 is composite. Its prime factorisation is
- 3
The divisors add up to 73980; without 32840 itself that is 41140, so 32840 is abundant (41140 is more than 32840). Euler's totient φ(32840) = 13120 numbers up to 32840 share no factor with it.
- 4
The digits of 32840 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32840 = 2^{3} \times 5 \times 821 \]32840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73980 |
| Euler totient φ(n) | 13120 |
| Square | 1078465600 |
| Cube | 35416810304000 |
| Square root | 181.218101 (= 2√8210) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.284 × |
32840 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and forty |
| Binary (base 2) | 1000000001001000 |
| Octal (base 8) | 100110 |
| Hexadecimal (base 16) | 8048 |
| Base 3 | 1200001022 |
| As time | 32840 seconds = 9 h 7 min 20 s |
Is 32840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32840 ÷ 2 = 16420) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32840 ÷ 4 = 8210) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32840 ÷ 5 = 6568) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (32840 ÷ 8 = 4105) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32840 ÷ 10 = 3284) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32840 a prime number?
No. 32840 = × 5 × 821, so it is divisible by 2.
What are the factors of 32840?
1, 2, 4, 5, 8, 10, 20, 40, 821, 1642, 3284, 4105, 6568, 8210, 16420, 32840.
What is 32840 in binary?
1000000001001000 (hexadecimal 8048, octal 100110).
What is the square root of 32840?
About 181.2181, exactly 2√8210.
Is 32840 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32840?
It is a composite number with 16 divisors.