The number 32488
32488 is a composite number with 16 divisors. Its prime factorisation is × 31 × 131. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 131, 248, 262, 524, 1048, 4061, 8122, 16244, 32488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32488 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 32488 itself that is 30872, so 32488 is deficient (30872 is less than 32488). Euler's totient φ(32488) = 15600 numbers up to 32488 share no factor with it.
- 4
The digits of 32488 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32488 = 2^{3} \times 31 \times 131 \]32488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 15600 |
| Square | 1055470144 |
| Cube | 34290114038272 |
| Square root | 180.244279 (= 2√8122) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2488 × |
32488 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and eighty-eight |
| Binary (base 2) | 111111011101000 |
| Octal (base 8) | 77350 |
| Hexadecimal (base 16) | 7EE8 |
| Base 3 | 1122120021 |
| As time | 32488 seconds = 9 h 1 min 28 s |
Is 32488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32488 ÷ 2 = 16244) | 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 (32488 ÷ 4 = 8122) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (32488 ÷ 8 = 4061) | 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 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32488 a prime number?
No. 32488 = × 31 × 131, so it is divisible by 2.
What are the factors of 32488?
1, 2, 4, 8, 31, 62, 124, 131, 248, 262, 524, 1048, 4061, 8122, 16244, 32488.
What is 32488 in binary?
111111011101000 (hexadecimal 7EE8, octal 77350).
What is the square root of 32488?
About 180.2443, exactly 2√8122.
Is 32488 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 32488?
It is a composite number with 16 divisors.