The number 13774
13774 is a composite number with 8 divisors. Its prime factorisation is 2 × 71 × 97. Divisors (8): 1, 2, 71, 97, 142, 194, 6887, 13774.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13774 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13774 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 13774 itself that is 7394, so 13774 is deficient (7394 is less than 13774). Euler's totient φ(13774) = 6720 numbers up to 13774 share no factor with it.
- 4
The digits of 13774 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13774 = 2 \times 71 \times 97 \]
13774 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 6720 |
| Square | 189723076 |
| Cube | 2613245648824 |
| Square root | 117.362686 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3774 × |
13774 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and seventy-four |
| Binary (base 2) | 11010111001110 |
| Octal (base 8) | 32716 |
| Hexadecimal (base 16) | 35CE |
| Base 3 | 200220011 |
| As time | 13774 seconds = 3 h 49 min 34 s |
Is 13774 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13774 ÷ 2 = 6887) | 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 | 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 4) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13774 a prime number?
No. 13774 = 2 × 71 × 97, so it is divisible by 2.
What are the factors of 13774?
1, 2, 71, 97, 142, 194, 6887, 13774.
What is 13774 in binary?
11010111001110 (hexadecimal 35CE, octal 32716).
What is the square root of 13774?
About 117.3627.
Is 13774 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13774?
It is a composite number with 8 divisors.