The number 11772
11772 is a composite number with 24 divisors. Its prime factorisation is × × 109. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 109, 218, 327, 436 … 11772.
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How to work it out
- 1
What is special about 11772: a Harshad number: divisible by its digit sum 18.
- 2
11772 is composite. Its prime factorisation is
- 3
The divisors add up to 30800; without 11772 itself that is 19028, so 11772 is abundant (19028 is more than 11772). Euler's totient φ(11772) = 3888 numbers up to 11772 share no factor with it.
- 4
The digits of 11772 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11772 = 2^{2} \times 3^{3} \times 109 \]11772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30800 |
| Euler totient φ(n) | 3888 |
| Square | 138579984 |
| Cube | 1631363571648 |
| Square root | 108.498848 (= 6√327) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.1772 × |
11772 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and seventy-two |
| Binary (base 2) | 10110111111100 |
| Octal (base 8) | 26774 |
| Hexadecimal (base 16) | 2DFC |
| Base 3 | 121011000 |
| As time | 11772 seconds = 3 h 16 min 12 s |
Is 11772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11772 ÷ 2 = 5886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11772 ÷ 3 = 3924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11772 ÷ 4 = 2943) | 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 | Yes (11772 ÷ 6 = 1962) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11772 ÷ 9 = 1308) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11772 ÷ 12 = 981) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11772 a prime number?
No. 11772 = × × 109, so it is divisible by 2.
What are the factors of 11772?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 109, 218, 327, 436, 654, 981, 1308, 1962, 2943, 3924, 5886, 11772.
What is 11772 in binary?
10110111111100 (hexadecimal 2DFC, octal 26774).
What is the square root of 11772?
About 108.4988, exactly 6√327.
Is 11772 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11772?
11772 is a Harshad number: divisible by its digit sum 18.