The number 1349
1349 is a composite number with 4 divisors. Its prime factorisation is 19 × 71. Divisors (4): 1, 19, 71, 1349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1349: a semiprime: 19 × 71, the product of two primes.
- 2
1349 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 1349 itself that is 91, so 1349 is deficient (91 is less than 1349). Euler's totient φ(1349) = 1260 numbers up to 1349 share no factor with it.
- 4
The digits of 1349 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1349 = 19 \times 71 \]
1349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 1260 |
| Square | 1819801 |
| Cube | 2454911549 |
| Square root | 36.728735 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.349 × |
1349 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and forty-nine |
| Roman numerals | MCCCXLIX |
| Binary (base 2) | 10101000101 |
| Octal (base 8) | 2505 |
| Hexadecimal (base 16) | 545 |
| Base 3 | 1211222 |
| As time | 1349 seconds = 22 min 29 s |
Is 1349 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 5) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1349 a prime number?
No. 1349 = 19 × 71, so it is divisible by 19.
What are the factors of 1349?
1, 19, 71, 1349.
What is 1349 in binary?
10101000101 (hexadecimal 545, octal 2505).
What is the square root of 1349?
About 36.7287.
What is 1349 in Roman numerals?
MCCCXLIX.
Is 1349 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1349?
1349 is a semiprime: 19 × 71, the product of two primes.