The number 15348
15348 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1279. Divisors (12): 1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674, 15348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15348 is composite. Its prime factorisation is
- 3
The divisors add up to 35840; without 15348 itself that is 20492, so 15348 is abundant (20492 is more than 15348). Euler's totient φ(15348) = 5112 numbers up to 15348 share no factor with it.
- 4
The digits of 15348 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15348 = 2^{2} \times 3 \times 1279 \]15348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35840 |
| Euler totient φ(n) | 5112 |
| Square | 235561104 |
| Cube | 3615391824192 |
| Square root | 123.887045 (= 2√3837) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.5348 × |
15348 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and forty-eight |
| Binary (base 2) | 11101111110100 |
| Octal (base 8) | 35764 |
| Hexadecimal (base 16) | 3BF4 |
| Base 3 | 210001110 |
| As time | 15348 seconds = 4 h 15 min 48 s |
Is 15348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15348 ÷ 2 = 7674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15348 ÷ 3 = 5116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15348 ÷ 4 = 3837) | 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 (15348 ÷ 6 = 2558) | 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 | No (remainder 4) | 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 (15348 ÷ 12 = 1279) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15348 a prime number?
No. 15348 = × 3 × 1279, so it is divisible by 2.
What are the factors of 15348?
1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674, 15348.
What is 15348 in binary?
11101111110100 (hexadecimal 3BF4, octal 35764).
What is the square root of 15348?
About 123.8870, exactly 2√3837.
Is 15348 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 15348?
It is a composite number with 12 divisors.