The number 1304
1304 is a composite number with 8 divisors. Its prime factorisation is × 163. Divisors (8): 1, 2, 4, 8, 163, 326, 652, 1304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1304: a Harshad number: divisible by its digit sum 8.
- 2
1304 is composite. Its prime factorisation is
- 3
The divisors add up to 2460; without 1304 itself that is 1156, so 1304 is deficient (1156 is less than 1304). Euler's totient φ(1304) = 648 numbers up to 1304 share no factor with it.
- 4
The digits of 1304 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1304 = 2^{3} \times 163 \]1304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2460 |
| Euler totient φ(n) | 648 |
| Square | 1700416 |
| Cube | 2217342464 |
| Square root | 36.110940 (= 2√326) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.304 × |
1304 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and four |
| Roman numerals | MCCCIV |
| Binary (base 2) | 10100011000 |
| Octal (base 8) | 2430 |
| Hexadecimal (base 16) | 518 |
| Base 3 | 1210022 |
| As time | 1304 seconds = 21 min 44 s |
Is 1304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1304 ÷ 2 = 652) | 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 (1304 ÷ 4 = 326) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (1304 ÷ 8 = 163) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 1304 a prime number?
No. 1304 = × 163, so it is divisible by 2.
What are the factors of 1304?
1, 2, 4, 8, 163, 326, 652, 1304.
What is 1304 in binary?
10100011000 (hexadecimal 518, octal 2430).
What is the square root of 1304?
About 36.1109, exactly 2√326.
What is 1304 in Roman numerals?
MCCCIV.
Is 1304 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1304?
1304 is a Harshad number: divisible by its digit sum 8.