The number 77349
77349 is a composite number with 16 divisors. Its prime factorisation is 3 × 19 × 23 × 59. Divisors (16): 1, 3, 19, 23, 57, 59, 69, 177, 437, 1121, 1311, 1357, 3363, 4071, 25783, 77349.
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How to work it out
- 1
77349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77349 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 77349 itself that is 37851, so 77349 is deficient (37851 is less than 77349). Euler's totient φ(77349) = 45936 numbers up to 77349 share no factor with it.
- 4
The digits of 77349 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77349 = 3 \times 19 \times 23 \times 59 \]
77349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 45936 |
| Square | 5982867801 |
| Cube | 462768841539549 |
| Square root | 278.116882 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7349 × |
77349 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and forty-nine |
| Binary (base 2) | 10010111000100101 |
| Octal (base 8) | 227045 |
| Hexadecimal (base 16) | 12E25 |
| Base 3 | 10221002210 |
| As time | 77349 seconds = 21 h 29 min 9 s |
Is 77349 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 (77349 ÷ 3 = 25783) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77349 a prime number?
No. 77349 = 3 × 19 × 23 × 59, so it is divisible by 3.
What are the factors of 77349?
1, 3, 19, 23, 57, 59, 69, 177, 437, 1121, 1311, 1357, 3363, 4071, 25783, 77349.
What is 77349 in binary?
10010111000100101 (hexadecimal 12E25, octal 227045).
What is the square root of 77349?
About 278.1169.
Is 77349 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77349?
It is a composite number with 16 divisors.