The number 77882
77882 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 5563. Divisors (8): 1, 2, 7, 14, 5563, 11126, 38941, 77882.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77882: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77882 is composite. Its prime factorisation is
- 3
The divisors add up to 133536; without 77882 itself that is 55654, so 77882 is deficient (55654 is less than 77882). Euler's totient φ(77882) = 33372 numbers up to 77882 share no factor with it.
- 4
The digits of 77882 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77882 = 2 \times 7 \times 5563 \]
77882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 133536 |
| Euler totient φ(n) | 33372 |
| Square | 6065605924 |
| Cube | 472401520572968 |
| Square root | 279.073467 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7882 × |
77882 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and eighty-two |
| Binary (base 2) | 10011000000111010 |
| Octal (base 8) | 230072 |
| Hexadecimal (base 16) | 1303A |
| Base 3 | 10221211112 |
| As time | 77882 seconds = 21 h 38 min 2 s |
Is 77882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77882 ÷ 2 = 38941) | 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 | Yes (77882 ÷ 7 = 11126) | 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 2) | 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 77882 a prime number?
No. 77882 = 2 × 7 × 5563, so it is divisible by 2.
What are the factors of 77882?
1, 2, 7, 14, 5563, 11126, 38941, 77882.
What is 77882 in binary?
10011000000111010 (hexadecimal 1303A, octal 230072).
What is the square root of 77882?
About 279.0735.
Is 77882 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77882?
77882 is a happy number: repeatedly adding the squares of its digits reaches 1.