The number 77102
77102 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 2029. Divisors (8): 1, 2, 19, 38, 2029, 4058, 38551, 77102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77102: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77102 is composite. Its prime factorisation is
- 3
The divisors add up to 121800; without 77102 itself that is 44698, so 77102 is deficient (44698 is less than 77102). Euler's totient φ(77102) = 36504 numbers up to 77102 share no factor with it.
- 4
The digits of 77102 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77102 = 2 \times 19 \times 2029 \]
77102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121800 |
| Euler totient φ(n) | 36504 |
| Square | 5944718404 |
| Cube | 458349678385208 |
| Square root | 277.672469 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7102 × |
77102 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and two |
| Binary (base 2) | 10010110100101110 |
| Octal (base 8) | 226456 |
| Hexadecimal (base 16) | 12D2E |
| Base 3 | 10220202122 |
| As time | 77102 seconds = 21 h 25 min 2 s |
Is 77102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77102 ÷ 2 = 38551) | 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 4) | 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 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77102 a prime number?
No. 77102 = 2 × 19 × 2029, so it is divisible by 2.
What are the factors of 77102?
1, 2, 19, 38, 2029, 4058, 38551, 77102.
What is 77102 in binary?
10010110100101110 (hexadecimal 12D2E, octal 226456).
What is the square root of 77102?
About 277.6725.
Is 77102 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 77102?
77102 is a happy number: repeatedly adding the squares of its digits reaches 1.