The number 77329
77329 is a composite number with 4 divisors. Its prime factorisation is 7 × 11047. Divisors (4): 1, 7, 11047, 77329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77329: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 11047, the product of two primes.
- 2
77329 is composite. Its prime factorisation is
- 3
The divisors add up to 88384; without 77329 itself that is 11055, so 77329 is deficient (11055 is less than 77329). Euler's totient φ(77329) = 66276 numbers up to 77329 share no factor with it.
- 4
The digits of 77329 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77329 = 7 \times 11047 \]
77329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 88384 |
| Euler totient φ(n) | 66276 |
| Square | 5979774241 |
| Cube | 462409962282289 |
| Square root | 278.080923 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7329 × |
77329 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty-nine |
| Binary (base 2) | 10010111000010001 |
| Octal (base 8) | 227021 |
| Hexadecimal (base 16) | 12E11 |
| Base 3 | 10221002001 |
| As time | 77329 seconds = 21 h 28 min 49 s |
Is 77329 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77329 ÷ 7 = 11047) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77329 a prime number?
No. 77329 = 7 × 11047, so it is divisible by 7.
What are the factors of 77329?
1, 7, 11047, 77329.
What is 77329 in binary?
10010111000010001 (hexadecimal 12E11, octal 227021).
What is the square root of 77329?
About 278.0809.
Is 77329 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77329?
77329 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 11047, the product of two primes.