The number 1362
1362 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 227. Divisors (8): 1, 2, 3, 6, 227, 454, 681, 1362.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1362 is composite. Its prime factorisation is
- 3
The divisors add up to 2736; without 1362 itself that is 1374, so 1362 is abundant (1374 is more than 1362). Euler's totient φ(1362) = 452 numbers up to 1362 share no factor with it.
- 4
The digits of 1362 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1362 = 2 \times 3 \times 227 \]
1362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2736 |
| Euler totient φ(n) | 452 |
| Square | 1855044 |
| Cube | 2526569928 |
| Square root | 36.905284 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.362 × |
1362 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixty-two |
| Roman numerals | MCCCLXII |
| Binary (base 2) | 10101010010 |
| Octal (base 8) | 2522 |
| Hexadecimal (base 16) | 552 |
| Base 3 | 1212110 |
| As time | 1362 seconds = 22 min 42 s |
Is 1362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1362 ÷ 2 = 681) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1362 ÷ 3 = 454) | 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 | Yes (1362 ÷ 6 = 227) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1362 a prime number?
No. 1362 = 2 × 3 × 227, so it is divisible by 2.
What are the factors of 1362?
1, 2, 3, 6, 227, 454, 681, 1362.
What is 1362 in binary?
10101010010 (hexadecimal 552, octal 2522).
What is the square root of 1362?
About 36.9053.
What is 1362 in Roman numerals?
MCCCLXII.
Is 1362 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1362?
It is a composite number with 8 divisors.