The number 11764
11764 is a composite number with 12 divisors. Its prime factorisation is × 17 × 173. Divisors (12): 1, 2, 4, 17, 34, 68, 173, 346, 692, 2941, 5882, 11764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11764: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11764 is composite. Its prime factorisation is
- 3
The divisors add up to 21924; without 11764 itself that is 10160, so 11764 is deficient (10160 is less than 11764). Euler's totient φ(11764) = 5504 numbers up to 11764 share no factor with it.
- 4
The digits of 11764 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11764 = 2^{2} \times 17 \times 173 \]11764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21924 |
| Euler totient φ(n) | 5504 |
| Square | 138391696 |
| Cube | 1628039911744 |
| Square root | 108.461975 (= 2√2941) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1764 × |
11764 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and sixty-four |
| Binary (base 2) | 10110111110100 |
| Octal (base 8) | 26764 |
| Hexadecimal (base 16) | 2DF4 |
| Base 3 | 121010201 |
| As time | 11764 seconds = 3 h 16 min 4 s |
Is 11764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11764 ÷ 2 = 5882) | 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 | Yes (11764 ÷ 4 = 2941) | 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 4) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11764 a prime number?
No. 11764 = × 17 × 173, so it is divisible by 2.
What are the factors of 11764?
1, 2, 4, 17, 34, 68, 173, 346, 692, 2941, 5882, 11764.
What is 11764 in binary?
10110111110100 (hexadecimal 2DF4, octal 26764).
What is the square root of 11764?
About 108.4620, exactly 2√2941.
Is 11764 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 11764?
11764 is a happy number: repeatedly adding the squares of its digits reaches 1.