The number 32920
32920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 823. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 823, 1646, 3292, 4115, 6584, 8230, 16460, 32920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32920 is composite. Its prime factorisation is
- 3
The divisors add up to 74160; without 32920 itself that is 41240, so 32920 is abundant (41240 is more than 32920). Euler's totient φ(32920) = 13152 numbers up to 32920 share no factor with it.
- 4
The digits of 32920 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32920 = 2^{3} \times 5 \times 823 \]32920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74160 |
| Euler totient φ(n) | 13152 |
| Square | 1083726400 |
| Cube | 35676273088000 |
| Square root | 181.438695 (= 2√8230) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.292 × |
32920 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and twenty |
| Binary (base 2) | 1000000010011000 |
| Octal (base 8) | 100230 |
| Hexadecimal (base 16) | 8098 |
| Base 3 | 1200011021 |
| As time | 32920 seconds = 9 h 8 min 40 s |
Is 32920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32920 ÷ 2 = 16460) | 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 (32920 ÷ 4 = 8230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32920 ÷ 5 = 6584) | 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 (32920 ÷ 8 = 4115) | 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 (32920 ÷ 10 = 3292) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 32920 a prime number?
No. 32920 = × 5 × 823, so it is divisible by 2.
What are the factors of 32920?
1, 2, 4, 5, 8, 10, 20, 40, 823, 1646, 3292, 4115, 6584, 8230, 16460, 32920.
What is 32920 in binary?
1000000010011000 (hexadecimal 8098, octal 100230).
What is the square root of 32920?
About 181.4387, exactly 2√8230.
Is 32920 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32920?
It is a composite number with 16 divisors.