The number 1364
1364 is a composite number with 12 divisors. Its prime factorisation is × 11 × 31. Divisors (12): 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1364 is composite. Its prime factorisation is
- 3
The divisors add up to 2688; without 1364 itself that is 1324, so 1364 is deficient (1324 is less than 1364). Euler's totient φ(1364) = 600 numbers up to 1364 share no factor with it.
- 4
The digits of 1364 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 13 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1364 = 2^{2} \times 11 \times 31 \]1364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2688 |
| Euler totient φ(n) | 600 |
| Square | 1860496 |
| Cube | 2537716544 |
| Square root | 36.932371 (= 2√341) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 13 |
| Scientific notation | 1.364 × |
1364 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixty-four |
| Roman numerals | MCCCLXIV |
| Binary (base 2) | 10101010100 |
| Octal (base 8) | 2524 |
| Hexadecimal (base 16) | 554 |
| Base 3 | 1212112 |
| As time | 1364 seconds = 22 min 44 s |
Is 1364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1364 ÷ 2 = 682) | 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 | Yes (1364 ÷ 4 = 341) | 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 6) | 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 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 | Yes (1364 ÷ 11 = 124) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1364 a prime number?
No. 1364 = × 11 × 31, so it is divisible by 2.
What are the factors of 1364?
1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364.
What is 1364 in binary?
10101010100 (hexadecimal 554, octal 2524).
What is the square root of 1364?
About 36.9324, exactly 2√341.
What is 1364 in Roman numerals?
MCCCLXIV.
Is 1364 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1364?
It is a composite number with 12 divisors.