The number 1308
1308 is a composite number with 12 divisors. Its prime factorisation is × 3 × 109. Divisors (12): 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1308: a Harshad number: divisible by its digit sum 12.
- 2
1308 is composite. Its prime factorisation is
- 3
The divisors add up to 3080; without 1308 itself that is 1772, so 1308 is abundant (1772 is more than 1308). Euler's totient φ(1308) = 432 numbers up to 1308 share no factor with it.
- 4
The digits of 1308 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1308 = 2^{2} \times 3 \times 109 \]1308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3080 |
| Euler totient φ(n) | 432 |
| Square | 1710864 |
| Cube | 2237810112 |
| Square root | 36.166283 (= 2√327) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 1.308 × |
1308 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and eight |
| Roman numerals | MCCCVIII |
| Binary (base 2) | 10100011100 |
| Octal (base 8) | 2434 |
| Hexadecimal (base 16) | 51C |
| Base 3 | 1210110 |
| As time | 1308 seconds = 21 min 48 s |
Is 1308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1308 ÷ 2 = 654) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1308 ÷ 3 = 436) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1308 ÷ 4 = 327) | 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 (1308 ÷ 6 = 218) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1308 ÷ 12 = 109) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1308 a prime number?
No. 1308 = × 3 × 109, so it is divisible by 2.
What are the factors of 1308?
1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308.
What is 1308 in binary?
10100011100 (hexadecimal 51C, octal 2434).
What is the square root of 1308?
About 36.1663, exactly 2√327.
What is 1308 in Roman numerals?
MCCCVIII.
Is 1308 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1308?
1308 is a Harshad number: divisible by its digit sum 12.