The number 77313
77313 is a composite number with 4 divisors. Its prime factorisation is 3 × 25771. Divisors (4): 1, 3, 25771, 77313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77313: a semiprime: 3 × 25771, the product of two primes.
- 2
77313 is composite. Its prime factorisation is
- 3
The divisors add up to 103088; without 77313 itself that is 25775, so 77313 is deficient (25775 is less than 77313). Euler's totient φ(77313) = 51540 numbers up to 77313 share no factor with it.
- 4
The digits of 77313 add up to 21, 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
\[ 77313 = 3 \times 25771 \]
77313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 103088 |
| Euler totient φ(n) | 51540 |
| Square | 5977299969 |
| Cube | 462122992503297 |
| Square root | 278.052153 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7313 × |
77313 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and thirteen |
| Binary (base 2) | 10010111000000001 |
| Octal (base 8) | 227001 |
| Hexadecimal (base 16) | 12E01 |
| Base 3 | 10221001110 |
| As time | 77313 seconds = 21 h 28 min 33 s |
Is 77313 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 (77313 ÷ 3 = 25771) | 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 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 | No (remainder 5) | 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 3) | 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 5) | 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 77313 a prime number?
No. 77313 = 3 × 25771, so it is divisible by 3.
What are the factors of 77313?
1, 3, 25771, 77313.
What is 77313 in binary?
10010111000000001 (hexadecimal 12E01, octal 227001).
What is the square root of 77313?
About 278.0522.
Is 77313 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77313?
77313 is a semiprime: 3 × 25771, the product of two primes.