The number 5148
5148 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 13. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44 … 5148.
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How to work it out
- 1
What is special about 5148: a Harshad number: divisible by its digit sum 18.
- 2
5148 is composite. Its prime factorisation is
- 3
The divisors add up to 15288; without 5148 itself that is 10140, so 5148 is abundant (10140 is more than 5148). Euler's totient φ(5148) = 1440 numbers up to 5148 share no factor with it.
- 4
The digits of 5148 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5148 = 2^{2} \times 3^{2} \times 11 \times 13 \]5148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 15288 |
| Euler totient φ(n) | 1440 |
| Square | 26501904 |
| Cube | 136431801792 |
| Square root | 71.749564 (= 6√143) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.148 × |
5148 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and forty-eight |
| Binary (base 2) | 1010000011100 |
| Octal (base 8) | 12034 |
| Hexadecimal (base 16) | 141C |
| Base 3 | 21001200 |
| As time | 5148 seconds = 1 h 25 min 48 s |
Is 5148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5148 ÷ 2 = 2574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5148 ÷ 3 = 1716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5148 ÷ 4 = 1287) | 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 (5148 ÷ 6 = 858) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (5148 ÷ 9 = 572) | 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 | Yes (5148 ÷ 11 = 468) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5148 ÷ 12 = 429) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5148 a prime number?
No. 5148 = × × 11 × 13, so it is divisible by 2.
What are the factors of 5148?
1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148.
What is 5148 in binary?
1010000011100 (hexadecimal 141C, octal 12034).
What is the square root of 5148?
About 71.7496, exactly 6√143.
Is 5148 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5148?
5148 is a Harshad number: divisible by its digit sum 18.