The number 61773
61773 is a composite number with 8 divisors. Its prime factorisation is 3 × 59 × 349. Divisors (8): 1, 3, 59, 177, 349, 1047, 20591, 61773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61773 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 61773 itself that is 22227, so 61773 is deficient (22227 is less than 61773). Euler's totient φ(61773) = 40368 numbers up to 61773 share no factor with it.
- 4
The digits of 61773 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61773 = 3 \times 59 \times 349 \]
61773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 40368 |
| Square | 3815903529 |
| Cube | 235719808696917 |
| Square root | 248.541747 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1773 × |
61773 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and seventy-three |
| Binary (base 2) | 1111000101001101 |
| Octal (base 8) | 170515 |
| Hexadecimal (base 16) | F14D |
| Base 3 | 10010201220 |
| As time | 61773 seconds = 17 h 9 min 33 s |
Is 61773 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 (61773 ÷ 3 = 20591) | 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 5) | 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 8) | 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 61773 a prime number?
No. 61773 = 3 × 59 × 349, so it is divisible by 3.
What are the factors of 61773?
1, 3, 59, 177, 349, 1047, 20591, 61773.
What is 61773 in binary?
1111000101001101 (hexadecimal F14D, octal 170515).
What is the square root of 61773?
About 248.5417.
Is 61773 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 61773?
It is a composite number with 8 divisors.