The number 77162
77162 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 941. Divisors (8): 1, 2, 41, 82, 941, 1882, 38581, 77162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77162: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77162 is composite. Its prime factorisation is
- 3
The divisors add up to 118692; without 77162 itself that is 41530, so 77162 is deficient (41530 is less than 77162). Euler's totient φ(77162) = 37600 numbers up to 77162 share no factor with it.
- 4
The digits of 77162 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77162 = 2 \times 41 \times 941 \]
77162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 118692 |
| Euler totient φ(n) | 37600 |
| Square | 5953974244 |
| Cube | 459420560615528 |
| Square root | 277.780489 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7162 × |
77162 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and sixty-two |
| Binary (base 2) | 10010110101101010 |
| Octal (base 8) | 226552 |
| Hexadecimal (base 16) | 12D6A |
| Base 3 | 10220211212 |
| As time | 77162 seconds = 21 h 26 min 2 s |
Is 77162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77162 ÷ 2 = 38581) | 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 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 | No (remainder 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 77162 a prime number?
No. 77162 = 2 × 41 × 941, so it is divisible by 2.
What are the factors of 77162?
1, 2, 41, 82, 941, 1882, 38581, 77162.
What is 77162 in binary?
10010110101101010 (hexadecimal 12D6A, octal 226552).
What is the square root of 77162?
About 277.7805.
Is 77162 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77162?
77162 is a happy number: repeatedly adding the squares of its digits reaches 1.