The number 32904
32904 is a composite number with 24 divisors. Its prime factorisation is × × 457. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 457, 914, 1371, 1828 … 32904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32904: a Harshad number: divisible by its digit sum 18.
- 2
32904 is composite. Its prime factorisation is
- 3
The divisors add up to 89310; without 32904 itself that is 56406, so 32904 is abundant (56406 is more than 32904). Euler's totient φ(32904) = 10944 numbers up to 32904 share no factor with it.
- 4
The digits of 32904 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32904 = 2^{3} \times 3^{2} \times 457 \]32904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89310 |
| Euler totient φ(n) | 10944 |
| Square | 1082673216 |
| Cube | 35624279499264 |
| Square root | 181.394597 (= 6√914) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2904 × |
32904 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and four |
| Binary (base 2) | 1000000010001000 |
| Octal (base 8) | 100210 |
| Hexadecimal (base 16) | 8088 |
| Base 3 | 1200010200 |
| As time | 32904 seconds = 9 h 8 min 24 s |
Is 32904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32904 ÷ 2 = 16452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32904 ÷ 3 = 10968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32904 ÷ 4 = 8226) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32904 ÷ 6 = 5484) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (32904 ÷ 8 = 4113) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32904 ÷ 9 = 3656) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32904 ÷ 12 = 2742) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32904 a prime number?
No. 32904 = × × 457, so it is divisible by 2.
What are the factors of 32904?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 16452, 32904.
What is 32904 in binary?
1000000010001000 (hexadecimal 8088, octal 100210).
What is the square root of 32904?
About 181.3946, exactly 6√914.
Is 32904 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32904?
32904 is a Harshad number: divisible by its digit sum 18.