The number 76349
76349 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 839. Divisors (8): 1, 7, 13, 91, 839, 5873, 10907, 76349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76349 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 76349 itself that is 17731, so 76349 is deficient (17731 is less than 76349). Euler's totient φ(76349) = 60336 numbers up to 76349 share no factor with it.
- 4
The digits of 76349 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76349 = 7 \times 13 \times 839 \]
76349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 60336 |
| Square | 5829169801 |
| Cube | 445051285136549 |
| Square root | 276.313228 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6349 × |
76349 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and forty-nine |
| Binary (base 2) | 10010101000111101 |
| Octal (base 8) | 225075 |
| Hexadecimal (base 16) | 12A3D |
| Base 3 | 10212201202 |
| As time | 76349 seconds = 21 h 12 min 29 s |
Is 76349 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76349 ÷ 7 = 10907) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76349 a prime number?
No. 76349 = 7 × 13 × 839, so it is divisible by 7.
What are the factors of 76349?
1, 7, 13, 91, 839, 5873, 10907, 76349.
What is 76349 in binary?
10010101000111101 (hexadecimal 12A3D, octal 225075).
What is the square root of 76349?
About 276.3132.
Is 76349 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76349?
It is a composite number with 8 divisors.