The number 1368
1368 is a composite number with 24 divisors. Its prime factorisation is × × 19. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76 … 1368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1368: a Harshad number: divisible by its digit sum 18.
- 2
1368 is composite. Its prime factorisation is
- 3
The divisors add up to 3900; without 1368 itself that is 2532, so 1368 is abundant (2532 is more than 1368). Euler's totient φ(1368) = 432 numbers up to 1368 share no factor with it.
- 4
The digits of 1368 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1368 = 2^{3} \times 3^{2} \times 19 \]1368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3900 |
| Euler totient φ(n) | 432 |
| Square | 1871424 |
| Cube | 2560108032 |
| Square root | 36.986484 (= 6√38) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.368 × |
1368 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixty-eight |
| Roman numerals | MCCCLXVIII |
| Binary (base 2) | 10101011000 |
| Octal (base 8) | 2530 |
| Hexadecimal (base 16) | 558 |
| Base 3 | 1212200 |
| As time | 1368 seconds = 22 min 48 s |
Is 1368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1368 ÷ 2 = 684) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1368 ÷ 3 = 456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1368 ÷ 4 = 342) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1368 ÷ 6 = 228) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (1368 ÷ 8 = 171) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1368 ÷ 9 = 152) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1368 ÷ 12 = 114) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1368 a prime number?
No. 1368 = × × 19, so it is divisible by 2.
What are the factors of 1368?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368.
What is 1368 in binary?
10101011000 (hexadecimal 558, octal 2530).
What is the square root of 1368?
About 36.9865, exactly 6√38.
What is 1368 in Roman numerals?
MCCCLXVIII.
Is 1368 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1368?
1368 is a Harshad number: divisible by its digit sum 18.