The number 77343
77343 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 29 × 127. Divisors (16): 1, 3, 7, 21, 29, 87, 127, 203, 381, 609, 889, 2667, 3683, 11049, 25781, 77343.
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How to work it out
- 1
77343 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77343 is composite. Its prime factorisation is
- 3
The divisors add up to 122880; without 77343 itself that is 45537, so 77343 is deficient (45537 is less than 77343). Euler's totient φ(77343) = 42336 numbers up to 77343 share no factor with it.
- 4
The digits of 77343 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77343 = 3 \times 7 \times 29 \times 127 \]
77343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122880 |
| Euler totient φ(n) | 42336 |
| Square | 5981939649 |
| Cube | 462661158272607 |
| Square root | 278.106095 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.7343 × |
77343 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and forty-three |
| Binary (base 2) | 10010111000011111 |
| Octal (base 8) | 227037 |
| Hexadecimal (base 16) | 12E1F |
| Base 3 | 10221002120 |
| As time | 77343 seconds = 21 h 29 min 3 s |
Is 77343 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77343 ÷ 3 = 25781) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77343 ÷ 7 = 11049) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77343 a prime number?
No. 77343 = 3 × 7 × 29 × 127, so it is divisible by 3.
What are the factors of 77343?
1, 3, 7, 21, 29, 87, 127, 203, 381, 609, 889, 2667, 3683, 11049, 25781, 77343.
What is 77343 in binary?
10010111000011111 (hexadecimal 12E1F, octal 227037).
What is the square root of 77343?
About 278.1061.
Is 77343 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77343?
It is a composite number with 16 divisors.