The number 1274
1274 is a composite number with 12 divisors. Its prime factorisation is 2 × × 13. Divisors (12): 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1274: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
1274 is composite. Its prime factorisation is
- 3
The divisors add up to 2394; without 1274 itself that is 1120, so 1274 is deficient (1120 is less than 1274). Euler's totient φ(1274) = 504 numbers up to 1274 share no factor with it.
- 4
The digits of 1274 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1274 = 2 \times 7^{2} \times 13 \]1274 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2394 |
| Euler totient φ(n) | 504 |
| Square | 1623076 |
| Cube | 2067798824 |
| Square root | 35.693137 (= 7√26) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.274 × |
1274 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and seventy-four |
| Roman numerals | MCCLXXIV |
| Binary (base 2) | 10011111010 |
| Octal (base 8) | 2372 |
| Hexadecimal (base 16) | 4FA |
| Base 3 | 1202012 |
| As time | 1274 seconds = 21 min 14 s |
Is 1274 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1274 ÷ 2 = 637) | 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 | No (remainder 2) | 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 | Yes (1274 ÷ 7 = 182) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1274 a prime number?
No. 1274 = 2 × × 13, so it is divisible by 2.
What are the factors of 1274?
1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274.
What is 1274 in binary?
10011111010 (hexadecimal 4FA, octal 2372).
What is the square root of 1274?
About 35.6931, exactly 7√26.
What is 1274 in Roman numerals?
MCCLXXIV.
Is 1274 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1274?
1274 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.