The number 77309
77309 is a composite number with 4 divisors. Its prime factorisation is 97 × 797. Divisors (4): 1, 97, 797, 77309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77309: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 97 × 797, the product of two primes.
- 2
77309 is composite. Its prime factorisation is
- 3
The divisors add up to 78204; without 77309 itself that is 895, so 77309 is deficient (895 is less than 77309). Euler's totient φ(77309) = 76416 numbers up to 77309 share no factor with it.
- 4
The digits of 77309 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77309 = 97 \times 797 \]
77309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78204 |
| Euler totient φ(n) | 76416 |
| Square | 5976681481 |
| Cube | 462051268614629 |
| Square root | 278.044960 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.7309 × |
77309 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and nine |
| Binary (base 2) | 10010110111111101 |
| Octal (base 8) | 226775 |
| Hexadecimal (base 16) | 12DFD |
| Base 3 | 10221001022 |
| As time | 77309 seconds = 21 h 28 min 29 s |
Is 77309 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 | No (remainder 1) | 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 8) | 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 1) | 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 77309 a prime number?
No. 77309 = 97 × 797, so it is divisible by 97.
What are the factors of 77309?
1, 97, 797, 77309.
What is 77309 in binary?
10010110111111101 (hexadecimal 12DFD, octal 226775).
What is the square root of 77309?
About 278.0450.
Is 77309 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77309?
77309 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 97 × 797, the product of two primes.