The number 1398
1398 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 233. Divisors (8): 1, 2, 3, 6, 233, 466, 699, 1398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1398 is composite. Its prime factorisation is
- 3
The divisors add up to 2808; without 1398 itself that is 1410, so 1398 is abundant (1410 is more than 1398). Euler's totient φ(1398) = 464 numbers up to 1398 share no factor with it.
- 4
The digits of 1398 add up to 21, 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
\[ 1398 = 2 \times 3 \times 233 \]
1398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2808 |
| Euler totient φ(n) | 464 |
| Square | 1954404 |
| Cube | 2732256792 |
| Square root | 37.389838 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.398 × |
1398 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and ninety-eight |
| Roman numerals | MCCCXCVIII |
| Binary (base 2) | 10101110110 |
| Octal (base 8) | 2566 |
| Hexadecimal (base 16) | 576 |
| Base 3 | 1220210 |
| As time | 1398 seconds = 23 min 18 s |
Is 1398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1398 ÷ 2 = 699) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1398 ÷ 3 = 466) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1398 ÷ 6 = 233) | 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 3) | 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 1) | 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 1398 a prime number?
No. 1398 = 2 × 3 × 233, so it is divisible by 2.
What are the factors of 1398?
1, 2, 3, 6, 233, 466, 699, 1398.
What is 1398 in binary?
10101110110 (hexadecimal 576, octal 2566).
What is the square root of 1398?
About 37.3898.
What is 1398 in Roman numerals?
MCCCXCVIII.
Is 1398 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1398?
It is a composite number with 8 divisors.