The number 12749
12749 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 61. Divisors (8): 1, 11, 19, 61, 209, 671, 1159, 12749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12749 is composite. Its prime factorisation is
- 3
The divisors add up to 14880; without 12749 itself that is 2131, so 12749 is deficient (2131 is less than 12749). Euler's totient φ(12749) = 10800 numbers up to 12749 share no factor with it.
- 4
The digits of 12749 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12749 = 11 \times 19 \times 61 \]
12749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14880 |
| Euler totient φ(n) | 10800 |
| Square | 162537001 |
| Cube | 2072184225749 |
| Square root | 112.911470 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2749 × |
12749 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-nine |
| Binary (base 2) | 11000111001101 |
| Octal (base 8) | 30715 |
| Hexadecimal (base 16) | 31CD |
| Base 3 | 122111012 |
| As time | 12749 seconds = 3 h 32 min 29 s |
Is 12749 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 2) | 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 5) | 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 | Yes (12749 ÷ 11 = 1159) | 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 12749 a prime number?
No. 12749 = 11 × 19 × 61, so it is divisible by 11.
What are the factors of 12749?
1, 11, 19, 61, 209, 671, 1159, 12749.
What is 12749 in binary?
11000111001101 (hexadecimal 31CD, octal 30715).
What is the square root of 12749?
About 112.9115.
Is 12749 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 12749?
It is a composite number with 8 divisors.