The number 77182
77182 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 37 × 149. Divisors (16): 1, 2, 7, 14, 37, 74, 149, 259, 298, 518, 1043, 2086, 5513, 11026, 38591, 77182.
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How to work it out
- 1
What is special about 77182: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77182 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 77182 itself that is 59618, so 77182 is deficient (59618 is less than 77182). Euler's totient φ(77182) = 31968 numbers up to 77182 share no factor with it.
- 4
The digits of 77182 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 231 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77182 = 2 \times 7 \times 37 \times 149 \]
77182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 31968 |
| Square | 5957061124 |
| Cube | 459777891672568 |
| Square root | 277.816486 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.7182 × |
77182 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and eighty-two |
| Binary (base 2) | 10010110101111110 |
| Octal (base 8) | 226576 |
| Hexadecimal (base 16) | 12D7E |
| Base 3 | 10220212121 |
| As time | 77182 seconds = 21 h 26 min 22 s |
Is 77182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77182 ÷ 2 = 38591) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77182 ÷ 7 = 11026) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77182 a prime number?
No. 77182 = 2 × 7 × 37 × 149, so it is divisible by 2.
What are the factors of 77182?
1, 2, 7, 14, 37, 74, 149, 259, 298, 518, 1043, 2086, 5513, 11026, 38591, 77182.
What is 77182 in binary?
10010110101111110 (hexadecimal 12D7E, octal 226576).
What is the square root of 77182?
About 277.8165.
Is 77182 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77182?
77182 is a happy number: repeatedly adding the squares of its digits reaches 1.