The number 1334
1334 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 29. Divisors (8): 1, 2, 23, 29, 46, 58, 667, 1334.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1334 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1334 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 1334 itself that is 826, so 1334 is deficient (826 is less than 1334). Euler's totient φ(1334) = 616 numbers up to 1334 share no factor with it.
- 4
The digits of 1334 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1334 = 2 \times 23 \times 29 \]
1334 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 616 |
| Square | 1779556 |
| Cube | 2373927704 |
| Square root | 36.523965 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 1.334 × |
1334 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-four |
| Roman numerals | MCCCXXXIV |
| Binary (base 2) | 10100110110 |
| Octal (base 8) | 2466 |
| Hexadecimal (base 16) | 536 |
| Base 3 | 1211102 |
| As time | 1334 seconds = 22 min 14 s |
Is 1334 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1334 ÷ 2 = 667) | 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 | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 1334 a prime number?
No. 1334 = 2 × 23 × 29, so it is divisible by 2.
What are the factors of 1334?
1, 2, 23, 29, 46, 58, 667, 1334.
What is 1334 in binary?
10100110110 (hexadecimal 536, octal 2466).
What is the square root of 1334?
About 36.5240.
What is 1334 in Roman numerals?
MCCCXXXIV.
Is 1334 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1334?
It is a composite number with 8 divisors.