The number 1548
1548 is a composite number with 18 divisors. Its prime factorisation is × × 43. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516 … 1548.
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How to work it out
- 1
What is special about 1548: a Harshad number: divisible by its digit sum 18.
- 2
1548 is composite. Its prime factorisation is
- 3
The divisors add up to 4004; without 1548 itself that is 2456, so 1548 is abundant (2456 is more than 1548). Euler's totient φ(1548) = 504 numbers up to 1548 share no factor with it.
- 4
The digits of 1548 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1548 = 2^{2} \times 3^{2} \times 43 \]1548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 4004 |
| Euler totient φ(n) | 504 |
| Square | 2396304 |
| Cube | 3709478592 |
| Square root | 39.344631 (= 6√43) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 1.548 × |
1548 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and forty-eight |
| Roman numerals | MDXLVIII |
| Binary (base 2) | 11000001100 |
| Octal (base 8) | 3014 |
| Hexadecimal (base 16) | 60C |
| Base 3 | 2010100 |
| As time | 1548 seconds = 25 min 48 s |
Is 1548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1548 ÷ 2 = 774) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1548 ÷ 3 = 516) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1548 ÷ 4 = 387) | 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 (1548 ÷ 6 = 258) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1548 ÷ 9 = 172) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1548 ÷ 12 = 129) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1548 a prime number?
No. 1548 = × × 43, so it is divisible by 2.
What are the factors of 1548?
1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548.
What is 1548 in binary?
11000001100 (hexadecimal 60C, octal 3014).
What is the square root of 1548?
About 39.3446, exactly 6√43.
What is 1548 in Roman numerals?
MDXLVIII.
Is 1548 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1548?
1548 is a Harshad number: divisible by its digit sum 18.