The number 77753
77753 is a composite number with 4 divisors. Its prime factorisation is 13 × 5981. Divisors (4): 1, 13, 5981, 77753.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77753: a semiprime: 13 × 5981, the product of two primes.
- 2
77753 is composite. Its prime factorisation is
- 3
The divisors add up to 83748; without 77753 itself that is 5995, so 77753 is deficient (5995 is less than 77753). Euler's totient φ(77753) = 71760 numbers up to 77753 share no factor with it.
- 4
The digits of 77753 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77753 = 13 \times 5981 \]
77753 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83748 |
| Euler totient φ(n) | 71760 |
| Square | 6045529009 |
| Cube | 470058017036777 |
| Square root | 278.842249 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7753 × |
77753 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and fifty-three |
| Binary (base 2) | 10010111110111001 |
| Octal (base 8) | 227671 |
| Hexadecimal (base 16) | 12FB9 |
| Base 3 | 10221122202 |
| As time | 77753 seconds = 21 h 35 min 53 s |
Is 77753 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 3) | 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 4) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77753 a prime number?
No. 77753 = 13 × 5981, so it is divisible by 13.
What are the factors of 77753?
1, 13, 5981, 77753.
What is 77753 in binary?
10010111110111001 (hexadecimal 12FB9, octal 227671).
What is the square root of 77753?
About 278.8422.
Is 77753 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77753?
77753 is a semiprime: 13 × 5981, the product of two primes.