The number 1376
1376 is a composite number with 12 divisors. Its prime factorisation is × 43. Divisors (12): 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1376 is composite. Its prime factorisation is
- 3
The divisors add up to 2772; without 1376 itself that is 1396, so 1376 is abundant (1396 is more than 1376). Euler's totient φ(1376) = 672 numbers up to 1376 share no factor with it.
- 4
The digits of 1376 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1376 = 2^{5} \times 43 \]1376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2772 |
| Euler totient φ(n) | 672 |
| Square | 1893376 |
| Cube | 2605285376 |
| Square root | 37.094474 (= 4√86) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.376 × |
1376 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventy-six |
| Roman numerals | MCCCLXXVI |
| Binary (base 2) | 10101100000 |
| Octal (base 8) | 2540 |
| Hexadecimal (base 16) | 560 |
| Base 3 | 1212222 |
| As time | 1376 seconds = 22 min 56 s |
Is 1376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1376 ÷ 2 = 688) | 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 (1376 ÷ 4 = 344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 (1376 ÷ 8 = 172) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 1376 a prime number?
No. 1376 = × 43, so it is divisible by 2.
What are the factors of 1376?
1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376.
What is 1376 in binary?
10101100000 (hexadecimal 560, octal 2540).
What is the square root of 1376?
About 37.0945, exactly 4√86.
What is 1376 in Roman numerals?
MCCCLXXVI.
Is 1376 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1376?
It is a composite number with 12 divisors.