The number 1396
1396 is a composite number with 6 divisors. Its prime factorisation is × 349. Divisors (6): 1, 2, 4, 349, 698, 1396.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1396 is composite. Its prime factorisation is
- 3
The divisors add up to 2450; without 1396 itself that is 1054, so 1396 is deficient (1054 is less than 1396). Euler's totient φ(1396) = 696 numbers up to 1396 share no factor with it.
- 4
The digits of 1396 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1396 = 2^{2} \times 349 \]1396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2450 |
| Euler totient φ(n) | 696 |
| Square | 1948816 |
| Cube | 2720547136 |
| Square root | 37.363083 (= 2√349) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.396 × |
1396 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and ninety-six |
| Roman numerals | MCCCXCVI |
| Binary (base 2) | 10101110100 |
| Octal (base 8) | 2564 |
| Hexadecimal (base 16) | 574 |
| Base 3 | 1220201 |
| As time | 1396 seconds = 23 min 16 s |
Is 1396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1396 ÷ 2 = 698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1396 ÷ 4 = 349) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1396 a prime number?
No. 1396 = × 349, so it is divisible by 2.
What are the factors of 1396?
1, 2, 4, 349, 698, 1396.
What is 1396 in binary?
10101110100 (hexadecimal 574, octal 2564).
What is the square root of 1396?
About 37.3631, exactly 2√349.
What is 1396 in Roman numerals?
MCCCXCVI.
Is 1396 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1396?
It is a composite number with 6 divisors.