The number 1312
1312 is a composite number with 12 divisors. Its prime factorisation is × 41. Divisors (12): 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1312 is composite. Its prime factorisation is
- 3
The divisors add up to 2646; without 1312 itself that is 1334, so 1312 is abundant (1334 is more than 1312). Euler's totient φ(1312) = 640 numbers up to 1312 share no factor with it.
- 4
The digits of 1312 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1312 = 2^{5} \times 41 \]1312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2646 |
| Euler totient φ(n) | 640 |
| Square | 1721344 |
| Cube | 2258403328 |
| Square root | 36.221541 (= 4√82) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.312 × |
1312 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twelve |
| Roman numerals | MCCCXII |
| Binary (base 2) | 10100100000 |
| Octal (base 8) | 2440 |
| Hexadecimal (base 16) | 520 |
| Base 3 | 1210121 |
| As time | 1312 seconds = 21 min 52 s |
Is 1312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1312 ÷ 2 = 656) | 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 (1312 ÷ 4 = 328) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 3) | 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 (1312 ÷ 8 = 164) | 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 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1312 a prime number?
No. 1312 = × 41, so it is divisible by 2.
What are the factors of 1312?
1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312.
What is 1312 in binary?
10100100000 (hexadecimal 520, octal 2440).
What is the square root of 1312?
About 36.2215, exactly 4√82.
What is 1312 in Roman numerals?
MCCCXII.
Is 1312 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1312?
It is a composite number with 12 divisors.