The number 73377
73377 is a composite number with 12 divisors. Its prime factorisation is × 31 × 263. Divisors (12): 1, 3, 9, 31, 93, 263, 279, 789, 2367, 8153, 24459, 73377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73377 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73377 is composite. Its prime factorisation is
- 3
The divisors add up to 109824; without 73377 itself that is 36447, so 73377 is deficient (36447 is less than 73377). Euler's totient φ(73377) = 47160 numbers up to 73377 share no factor with it.
- 4
The digits of 73377 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73377 = 3^{2} \times 31 \times 263 \]73377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109824 |
| Euler totient φ(n) | 47160 |
| Square | 5384184129 |
| Cube | 395075278833633 |
| Square root | 270.881893 (= 3√8153) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3377 × |
73377 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and seventy-seven |
| Binary (base 2) | 10001111010100001 |
| Octal (base 8) | 217241 |
| Hexadecimal (base 16) | 11EA1 |
| Base 3 | 10201122200 |
| As time | 73377 seconds = 20 h 22 min 57 s |
Is 73377 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 (73377 ÷ 3 = 24459) | 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 2) | 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 | Yes (73377 ÷ 9 = 8153) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 73377 a prime number?
No. 73377 = × 31 × 263, so it is divisible by 3.
What are the factors of 73377?
1, 3, 9, 31, 93, 263, 279, 789, 2367, 8153, 24459, 73377.
What is 73377 in binary?
10001111010100001 (hexadecimal 11EA1, octal 217241).
What is the square root of 73377?
About 270.8819, exactly 3√8153.
Is 73377 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73377?
It is a composite number with 12 divisors.