The number 13772
13772 is a composite number with 12 divisors. Its prime factorisation is × 11 × 313. Divisors (12): 1, 2, 4, 11, 22, 44, 313, 626, 1252, 3443, 6886, 13772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13772 is composite. Its prime factorisation is
- 3
The divisors add up to 26376; without 13772 itself that is 12604, so 13772 is deficient (12604 is less than 13772). Euler's totient φ(13772) = 6240 numbers up to 13772 share no factor with it.
- 4
The digits of 13772 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13772 = 2^{2} \times 11 \times 313 \]13772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26376 |
| Euler totient φ(n) | 6240 |
| Square | 189667984 |
| Cube | 2612107475648 |
| Square root | 117.354165 (= 2√3443) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3772 × |
13772 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and seventy-two |
| Binary (base 2) | 11010111001100 |
| Octal (base 8) | 32714 |
| Hexadecimal (base 16) | 35CC |
| Base 3 | 200220002 |
| As time | 13772 seconds = 3 h 49 min 32 s |
Is 13772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13772 ÷ 2 = 6886) | 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 | Yes (13772 ÷ 4 = 3443) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13772 ÷ 11 = 1252) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13772 a prime number?
No. 13772 = × 11 × 313, so it is divisible by 2.
What are the factors of 13772?
1, 2, 4, 11, 22, 44, 313, 626, 1252, 3443, 6886, 13772.
What is 13772 in binary?
11010111001100 (hexadecimal 35CC, octal 32714).
What is the square root of 13772?
About 117.3542, exactly 2√3443.
Is 13772 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13772?
It is a composite number with 12 divisors.