The number 1394
1394 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 41. Divisors (8): 1, 2, 17, 34, 41, 82, 697, 1394.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1394: a Harshad number: divisible by its digit sum 17.
- 2
1394 is composite. Its prime factorisation is
- 3
The divisors add up to 2268; without 1394 itself that is 874, so 1394 is deficient (874 is less than 1394). Euler's totient φ(1394) = 640 numbers up to 1394 share no factor with it.
- 4
The digits of 1394 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1394 = 2 \times 17 \times 41 \]
1394 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2268 |
| Euler totient φ(n) | 640 |
| Square | 1943236 |
| Cube | 2708870984 |
| Square root | 37.336309 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.394 × |
1394 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and ninety-four |
| Roman numerals | MCCCXCIV |
| Binary (base 2) | 10101110010 |
| Octal (base 8) | 2562 |
| Hexadecimal (base 16) | 572 |
| Base 3 | 1220122 |
| As time | 1394 seconds = 23 min 14 s |
Is 1394 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1394 ÷ 2 = 697) | 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 1) | 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 8) | 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 8) | 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 1394 a prime number?
No. 1394 = 2 × 17 × 41, so it is divisible by 2.
What are the factors of 1394?
1, 2, 17, 34, 41, 82, 697, 1394.
What is 1394 in binary?
10101110010 (hexadecimal 572, octal 2562).
What is the square root of 1394?
About 37.3363.
What is 1394 in Roman numerals?
MCCCXCIV.
Is 1394 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1394?
1394 is a Harshad number: divisible by its digit sum 17.