The number 76112
76112 is a composite number with 20 divisors. Its prime factorisation is × 67 × 71. Divisors (20): 1, 2, 4, 8, 16, 67, 71, 134, 142, 268, 284, 536, 568, 1072, 1136, 4757 … 76112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76112: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76112 is composite. Its prime factorisation is
- 3
The divisors add up to 151776; without 76112 itself that is 75664, so 76112 is deficient (75664 is less than 76112). Euler's totient φ(76112) = 36960 numbers up to 76112 share no factor with it.
- 4
The digits of 76112 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76112 = 2^{4} \times 67 \times 71 \]76112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 151776 |
| Euler totient φ(n) | 36960 |
| Square | 5793036544 |
| Cube | 440919597436928 |
| Square root | 275.884034 (= 4√4757) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6112 × |
76112 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and twelve |
| Binary (base 2) | 10010100101010000 |
| Octal (base 8) | 224520 |
| Hexadecimal (base 16) | 12950 |
| Base 3 | 10212101222 |
| As time | 76112 seconds = 21 h 8 min 32 s |
Is 76112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76112 ÷ 2 = 38056) | 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 | Yes (76112 ÷ 4 = 19028) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (76112 ÷ 8 = 9514) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76112 a prime number?
No. 76112 = × 67 × 71, so it is divisible by 2.
What are the factors of 76112?
1, 2, 4, 8, 16, 67, 71, 134, 142, 268, 284, 536, 568, 1072, 1136, 4757, 9514, 19028, 38056, 76112.
What is 76112 in binary?
10010100101010000 (hexadecimal 12950, octal 224520).
What is the square root of 76112?
About 275.8840, exactly 4√4757.
Is 76112 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 76112?
76112 is a happy number: repeatedly adding the squares of its digits reaches 1.