The number 15048
15048 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 19. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 19, 22, 24, 33, 36, 38 … 15048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15048: a Harshad number: divisible by its digit sum 18.
- 2
15048 is composite. Its prime factorisation is
- 3
The divisors add up to 46800; without 15048 itself that is 31752, so 15048 is abundant (31752 is more than 15048). Euler's totient φ(15048) = 4320 numbers up to 15048 share no factor with it.
- 4
The digits of 15048 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15048 = 2^{3} \times 3^{2} \times 11 \times 19 \]15048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 46800 |
| Euler totient φ(n) | 4320 |
| Square | 226442304 |
| Cube | 3407503790592 |
| Square root | 122.670290 (= 6√418) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5048 × |
15048 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and forty-eight |
| Binary (base 2) | 11101011001000 |
| Octal (base 8) | 35310 |
| Hexadecimal (base 16) | 3AC8 |
| Base 3 | 202122100 |
| As time | 15048 seconds = 4 h 10 min 48 s |
Is 15048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15048 ÷ 2 = 7524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15048 ÷ 3 = 5016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15048 ÷ 4 = 3762) | 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 (15048 ÷ 6 = 2508) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (15048 ÷ 8 = 1881) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15048 ÷ 9 = 1672) | 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 (15048 ÷ 11 = 1368) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15048 ÷ 12 = 1254) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15048 a prime number?
No. 15048 = × × 11 × 19, so it is divisible by 2.
What are the factors of 15048?
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 19, 22, 24, 33, 36, 38, 44, 57, 66, 72, 76, 88, 99, 114, 132, 152, 171, 198, 209, 228, 264, 342, 396, 418, 456, 627, 684, 792, 836, 1254, 1368, 1672, 1881, 2508, 3762, 5016, 7524, 15048.
What is 15048 in binary?
11101011001000 (hexadecimal 3AC8, octal 35310).
What is the square root of 15048?
About 122.6703, exactly 6√418.
Is 15048 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15048?
15048 is a Harshad number: divisible by its digit sum 18.