The number 77073
77073 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 1117. Divisors (8): 1, 3, 23, 69, 1117, 3351, 25691, 77073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77073 is composite. Its prime factorisation is
- 3
The divisors add up to 107328; without 77073 itself that is 30255, so 77073 is deficient (30255 is less than 77073). Euler's totient φ(77073) = 49104 numbers up to 77073 share no factor with it.
- 4
The digits of 77073 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77073 = 3 \times 23 \times 1117 \]
77073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 107328 |
| Euler totient φ(n) | 49104 |
| Square | 5940247329 |
| Cube | 457832682388017 |
| Square root | 277.620244 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7073 × |
77073 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and seventy-three |
| Binary (base 2) | 10010110100010001 |
| Octal (base 8) | 226421 |
| Hexadecimal (base 16) | 12D11 |
| Base 3 | 10220201120 |
| As time | 77073 seconds = 21 h 24 min 33 s |
Is 77073 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 (77073 ÷ 3 = 25691) | 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 3) | 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 6) | 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 7) | 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 77073 a prime number?
No. 77073 = 3 × 23 × 1117, so it is divisible by 3.
What are the factors of 77073?
1, 3, 23, 69, 1117, 3351, 25691, 77073.
What is 77073 in binary?
10010110100010001 (hexadecimal 12D11, octal 226421).
What is the square root of 77073?
About 277.6202.
Is 77073 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77073?
It is a composite number with 8 divisors.