The number 76109
76109 is a composite number with 12 divisors. Its prime factorisation is × 17 × 37. Divisors (12): 1, 11, 17, 37, 121, 187, 407, 629, 2057, 4477, 6919, 76109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76109: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76109 is composite. Its prime factorisation is
- 3
The divisors add up to 90972; without 76109 itself that is 14863, so 76109 is deficient (14863 is less than 76109). Euler's totient φ(76109) = 63360 numbers up to 76109 share no factor with it.
- 4
The digits of 76109 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 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76109 = 11^{2} \times 17 \times 37 \]76109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90972 |
| Euler totient φ(n) | 63360 |
| Square | 5792579881 |
| Cube | 440867462163029 |
| Square root | 275.878596 (= 11√629) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6109 × |
76109 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and nine |
| Binary (base 2) | 10010100101001101 |
| Octal (base 8) | 224515 |
| Hexadecimal (base 16) | 1294D |
| Base 3 | 10212101212 |
| As time | 76109 seconds = 21 h 8 min 29 s |
Is 76109 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 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 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 (76109 ÷ 11 = 6919) | 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 76109 a prime number?
No. 76109 = × 17 × 37, so it is divisible by 11.
What are the factors of 76109?
1, 11, 17, 37, 121, 187, 407, 629, 2057, 4477, 6919, 76109.
What is 76109 in binary?
10010100101001101 (hexadecimal 1294D, octal 224515).
What is the square root of 76109?
About 275.8786, exactly 11√629.
Is 76109 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 76109?
76109 is a happy number: repeatedly adding the squares of its digits reaches 1.