The number 32480
32480 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 29. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56 … 32480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32480 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 32480 itself that is 58240, so 32480 is abundant (58240 is more than 32480). Euler's totient φ(32480) = 10752 numbers up to 32480 share no factor with it.
- 4
The digits of 32480 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32480 = 2^{5} \times 5 \times 7 \times 29 \]32480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 10752 |
| Square | 1054950400 |
| Cube | 34264788992000 |
| Square root | 180.222085 (= 4√2030) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.248 × |
32480 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and eighty |
| Binary (base 2) | 111111011100000 |
| Octal (base 8) | 77340 |
| Hexadecimal (base 16) | 7EE0 |
| Base 3 | 1122112222 |
| As time | 32480 seconds = 9 h 1 min 20 s |
Is 32480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32480 ÷ 2 = 16240) | 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 (32480 ÷ 4 = 8120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32480 ÷ 5 = 6496) | 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 | Yes (32480 ÷ 7 = 4640) | 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 (32480 ÷ 8 = 4060) | 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 (32480 ÷ 10 = 3248) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32480 a prime number?
No. 32480 = × 5 × 7 × 29, so it is divisible by 2.
What are the factors of 32480?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 406, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 2030, 2320, 3248, 4060, 4640, 6496, 8120, 16240, 32480.
What is 32480 in binary?
111111011100000 (hexadecimal 7EE0, octal 77340).
What is the square root of 32480?
About 180.2221, exactly 4√2030.
Is 32480 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32480?
It is a composite number with 48 divisors.