The number 1328
1328 is a composite number with 10 divisors. Its prime factorisation is × 83. Divisors (10): 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1328 is composite. Its prime factorisation is
- 3
The divisors add up to 2604; without 1328 itself that is 1276, so 1328 is deficient (1276 is less than 1328). Euler's totient φ(1328) = 656 numbers up to 1328 share no factor with it.
- 4
The digits of 1328 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1328 = 2^{4} \times 83 \]1328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 2604 |
| Euler totient φ(n) | 656 |
| Square | 1763584 |
| Cube | 2342039552 |
| Square root | 36.441734 (= 4√83) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.328 × |
1328 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty-eight |
| Roman numerals | MCCCXXVIII |
| Binary (base 2) | 10100110000 |
| Octal (base 8) | 2460 |
| Hexadecimal (base 16) | 530 |
| Base 3 | 1211012 |
| As time | 1328 seconds = 22 min 8 s |
Is 1328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1328 ÷ 2 = 664) | 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 (1328 ÷ 4 = 332) | 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 5) | 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 (1328 ÷ 8 = 166) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 1328 a prime number?
No. 1328 = × 83, so it is divisible by 2.
What are the factors of 1328?
1, 2, 4, 8, 16, 83, 166, 332, 664, 1328.
What is 1328 in binary?
10100110000 (hexadecimal 530, octal 2460).
What is the square root of 1328?
About 36.4417, exactly 4√83.
What is 1328 in Roman numerals?
MCCCXXVIII.
Is 1328 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1328?
It is a composite number with 10 divisors.