The number 77126
77126 is a composite number with 12 divisors. Its prime factorisation is 2 × × 787. Divisors (12): 1, 2, 7, 14, 49, 98, 787, 1574, 5509, 11018, 38563, 77126.
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How to work it out
- 1
What is special about 77126: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77126 is composite. Its prime factorisation is
- 3
The divisors add up to 134748; without 77126 itself that is 57622, so 77126 is deficient (57622 is less than 77126). Euler's totient φ(77126) = 33012 numbers up to 77126 share no factor with it.
- 4
The digits of 77126 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77126 = 2 \times 7^{2} \times 787 \]77126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134748 |
| Euler totient φ(n) | 33012 |
| Square | 5948419876 |
| Cube | 458777831356376 |
| Square root | 277.715682 (= 7√1574) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7126 × |
77126 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and twenty-six |
| Binary (base 2) | 10010110101000110 |
| Octal (base 8) | 226506 |
| Hexadecimal (base 16) | 12D46 |
| Base 3 | 10220210112 |
| As time | 77126 seconds = 21 h 25 min 26 s |
Is 77126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77126 ÷ 2 = 38563) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (77126 ÷ 7 = 11018) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77126 a prime number?
No. 77126 = 2 × × 787, so it is divisible by 2.
What are the factors of 77126?
1, 2, 7, 14, 49, 98, 787, 1574, 5509, 11018, 38563, 77126.
What is 77126 in binary?
10010110101000110 (hexadecimal 12D46, octal 226506).
What is the square root of 77126?
About 277.7157, exactly 7√1574.
Is 77126 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77126?
77126 is a happy number: repeatedly adding the squares of its digits reaches 1.