The number 13148
13148 is a composite number with 12 divisors. Its prime factorisation is × 19 × 173. Divisors (12): 1, 2, 4, 19, 38, 76, 173, 346, 692, 3287, 6574, 13148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13148 is composite. Its prime factorisation is
- 3
The divisors add up to 24360; without 13148 itself that is 11212, so 13148 is deficient (11212 is less than 13148). Euler's totient φ(13148) = 6192 numbers up to 13148 share no factor with it.
- 4
The digits of 13148 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13148 = 2^{2} \times 19 \times 173 \]13148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24360 |
| Euler totient φ(n) | 6192 |
| Square | 172869904 |
| Cube | 2272893497792 |
| Square root | 114.664729 (= 2√3287) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3148 × |
13148 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and forty-eight |
| Binary (base 2) | 11001101011100 |
| Octal (base 8) | 31534 |
| Hexadecimal (base 16) | 335C |
| Base 3 | 200000222 |
| As time | 13148 seconds = 3 h 39 min 8 s |
Is 13148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13148 ÷ 2 = 6574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13148 ÷ 4 = 3287) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13148 a prime number?
No. 13148 = × 19 × 173, so it is divisible by 2.
What are the factors of 13148?
1, 2, 4, 19, 38, 76, 173, 346, 692, 3287, 6574, 13148.
What is 13148 in binary?
11001101011100 (hexadecimal 335C, octal 31534).
What is the square root of 13148?
About 114.6647, exactly 2√3287.
Is 13148 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13148?
13148 is a happy number: repeatedly adding the squares of its digits reaches 1.