The number 1488
1488 is a composite number with 20 divisors. Its prime factorisation is × 3 × 31. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248 … 1488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1488 is composite. Its prime factorisation is
- 3
The divisors add up to 3968; without 1488 itself that is 2480, so 1488 is abundant (2480 is more than 1488). Euler's totient φ(1488) = 480 numbers up to 1488 share no factor with it.
- 4
The digits of 1488 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1488 = 2^{4} \times 3 \times 31 \]1488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 3968 |
| Euler totient φ(n) | 480 |
| Square | 2214144 |
| Cube | 3294646272 |
| Square root | 38.574603 (= 4√93) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.488 × |
1488 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and eighty-eight |
| Roman numerals | MCDLXXXVIII |
| Binary (base 2) | 10111010000 |
| Octal (base 8) | 2720 |
| Hexadecimal (base 16) | 5D0 |
| Base 3 | 2001010 |
| As time | 1488 seconds = 24 min 48 s |
Is 1488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1488 ÷ 2 = 744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1488 ÷ 3 = 496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1488 ÷ 4 = 372) | 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 (1488 ÷ 6 = 248) | 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 (1488 ÷ 8 = 186) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1488 ÷ 12 = 124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1488 a prime number?
No. 1488 = × 3 × 31, so it is divisible by 2.
What are the factors of 1488?
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488.
What is 1488 in binary?
10111010000 (hexadecimal 5D0, octal 2720).
What is the square root of 1488?
About 38.5746, exactly 4√93.
What is 1488 in Roman numerals?
MCDLXXXVIII.
Is 1488 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1488?
It is a composite number with 20 divisors.