The number 1276
1276 is a composite number with 12 divisors. Its prime factorisation is × 11 × 29. Divisors (12): 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1276 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1276 is composite. Its prime factorisation is
- 3
The divisors add up to 2520; without 1276 itself that is 1244, so 1276 is deficient (1244 is less than 1276). Euler's totient φ(1276) = 560 numbers up to 1276 share no factor with it.
- 4
The digits of 1276 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1276 = 2^{2} \times 11 \times 29 \]1276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2520 |
| Euler totient φ(n) | 560 |
| Square | 1628176 |
| Cube | 2077552576 |
| Square root | 35.721142 (= 2√319) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.276 × |
1276 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and seventy-six |
| Roman numerals | MCCLXXVI |
| Binary (base 2) | 10011111100 |
| Octal (base 8) | 2374 |
| Hexadecimal (base 16) | 4FC |
| Base 3 | 1202021 |
| As time | 1276 seconds = 21 min 16 s |
Is 1276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1276 ÷ 2 = 638) | 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 (1276 ÷ 4 = 319) | 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 4) | 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 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1276 ÷ 11 = 116) | 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 1276 a prime number?
No. 1276 = × 11 × 29, so it is divisible by 2.
What are the factors of 1276?
1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276.
What is 1276 in binary?
10011111100 (hexadecimal 4FC, octal 2374).
What is the square root of 1276?
About 35.7211, exactly 2√319.
What is 1276 in Roman numerals?
MCCLXXVI.
Is 1276 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1276?
It is a composite number with 12 divisors.