The number 13048
13048 is a composite number with 16 divisors. Its prime factorisation is × 7 × 233. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 233, 466, 932, 1631, 1864, 3262, 6524, 13048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13048 is composite. Its prime factorisation is
- 3
The divisors add up to 28080; without 13048 itself that is 15032, so 13048 is abundant (15032 is more than 13048). Euler's totient φ(13048) = 5568 numbers up to 13048 share no factor with it.
- 4
The digits of 13048 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13048 = 2^{3} \times 7 \times 233 \]13048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28080 |
| Euler totient φ(n) | 5568 |
| Square | 170250304 |
| Cube | 2221425966592 |
| Square root | 114.227842 (= 2√3262) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3048 × |
13048 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and forty-eight |
| Binary (base 2) | 11001011111000 |
| Octal (base 8) | 31370 |
| Hexadecimal (base 16) | 32F8 |
| Base 3 | 122220021 |
| As time | 13048 seconds = 3 h 37 min 28 s |
Is 13048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13048 ÷ 2 = 6524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13048 ÷ 4 = 3262) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13048 ÷ 7 = 1864) | 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 (13048 ÷ 8 = 1631) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13048 a prime number?
No. 13048 = × 7 × 233, so it is divisible by 2.
What are the factors of 13048?
1, 2, 4, 7, 8, 14, 28, 56, 233, 466, 932, 1631, 1864, 3262, 6524, 13048.
What is 13048 in binary?
11001011111000 (hexadecimal 32F8, octal 31370).
What is the square root of 13048?
About 114.2278, exactly 2√3262.
Is 13048 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13048?
It is a composite number with 16 divisors.