The number 10488
10488 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 23. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 23, 24, 38, 46, 57, 69, 76, 92 … 10488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10488 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 10488 itself that is 18312, so 10488 is abundant (18312 is more than 10488). Euler's totient φ(10488) = 3168 numbers up to 10488 share no factor with it.
- 4
The digits of 10488 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10488 = 2^{3} \times 3 \times 19 \times 23 \]10488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 3168 |
| Square | 109998144 |
| Cube | 1153660534272 |
| Square root | 102.410937 (= 2√2622) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.0488 × |
10488 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and eighty-eight |
| Binary (base 2) | 10100011111000 |
| Octal (base 8) | 24370 |
| Hexadecimal (base 16) | 28F8 |
| Base 3 | 112101110 |
| As time | 10488 seconds = 2 h 54 min 48 s |
Is 10488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10488 ÷ 2 = 5244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10488 ÷ 3 = 3496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10488 ÷ 4 = 2622) | 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 | Yes (10488 ÷ 6 = 1748) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (10488 ÷ 8 = 1311) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (10488 ÷ 12 = 874) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10488 a prime number?
No. 10488 = × 3 × 19 × 23, so it is divisible by 2.
What are the factors of 10488?
1, 2, 3, 4, 6, 8, 12, 19, 23, 24, 38, 46, 57, 69, 76, 92, 114, 138, 152, 184, 228, 276, 437, 456, 552, 874, 1311, 1748, 2622, 3496, 5244, 10488.
What is 10488 in binary?
10100011111000 (hexadecimal 28F8, octal 24370).
What is the square root of 10488?
About 102.4109, exactly 2√2622.
Is 10488 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 10488?
It is a composite number with 32 divisors.