The number 31773
31773 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 89. Divisors (16): 1, 3, 7, 17, 21, 51, 89, 119, 267, 357, 623, 1513, 1869, 4539, 10591, 31773.
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How to work it out
- 1
What is special about 31773: a Harshad number: divisible by its digit sum 21.
- 2
31773 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 31773 itself that is 20067, so 31773 is deficient (20067 is less than 31773). Euler's totient φ(31773) = 16896 numbers up to 31773 share no factor with it.
- 4
The digits of 31773 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31773 = 3 \times 7 \times 17 \times 89 \]
31773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 16896 |
| Square | 1009523529 |
| Cube | 32075591086917 |
| Square root | 178.249825 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1773 × |
31773 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and seventy-three |
| Binary (base 2) | 111110000011101 |
| Octal (base 8) | 76035 |
| Hexadecimal (base 16) | 7C1D |
| Base 3 | 1121120210 |
| As time | 31773 seconds = 8 h 49 min 33 s |
Is 31773 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 (31773 ÷ 3 = 10591) | 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 | Yes (31773 ÷ 7 = 4539) | 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 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 31773 a prime number?
No. 31773 = 3 × 7 × 17 × 89, so it is divisible by 3.
What are the factors of 31773?
1, 3, 7, 17, 21, 51, 89, 119, 267, 357, 623, 1513, 1869, 4539, 10591, 31773.
What is 31773 in binary?
111110000011101 (hexadecimal 7C1D, octal 76035).
What is the square root of 31773?
About 178.2498.
Is 31773 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 31773?
31773 is a Harshad number: divisible by its digit sum 21.