The number 1342
1342 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 61. Divisors (8): 1, 2, 11, 22, 61, 122, 671, 1342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1342 is composite. Its prime factorisation is
- 3
The divisors add up to 2232; without 1342 itself that is 890, so 1342 is deficient (890 is less than 1342). Euler's totient φ(1342) = 600 numbers up to 1342 share no factor with it.
- 4
The digits of 1342 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1342 = 2 \times 11 \times 61 \]
1342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2232 |
| Euler totient φ(n) | 600 |
| Square | 1800964 |
| Cube | 2416893688 |
| Square root | 36.633318 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 1.342 × |
1342 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and forty-two |
| Roman numerals | MCCCXLII |
| Binary (base 2) | 10100111110 |
| Octal (base 8) | 2476 |
| Hexadecimal (base 16) | 53E |
| Base 3 | 1211201 |
| As time | 1342 seconds = 22 min 22 s |
Is 1342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1342 ÷ 2 = 671) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1342 ÷ 11 = 122) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1342 a prime number?
No. 1342 = 2 × 11 × 61, so it is divisible by 2.
What are the factors of 1342?
1, 2, 11, 22, 61, 122, 671, 1342.
What is 1342 in binary?
10100111110 (hexadecimal 53E, octal 2476).
What is the square root of 1342?
About 36.6333.
What is 1342 in Roman numerals?
MCCCXLII.
Is 1342 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1342?
It is a composite number with 8 divisors.