The number 33770
33770 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 307. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 307, 614, 1535, 3070, 3377, 6754, 16885, 33770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33770 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 33770 itself that is 32758, so 33770 is deficient (32758 is less than 33770). Euler's totient φ(33770) = 12240 numbers up to 33770 share no factor with it.
- 4
The digits of 33770 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33770 = 2 \times 5 \times 11 \times 307 \]
33770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 12240 |
| Square | 1140412900 |
| Cube | 38511743633000 |
| Square root | 183.766156 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.377 × |
33770 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and seventy |
| Binary (base 2) | 1000001111101010 |
| Octal (base 8) | 101752 |
| Hexadecimal (base 16) | 83EA |
| Base 3 | 1201022202 |
| As time | 33770 seconds = 9 h 22 min 50 s |
Is 33770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33770 ÷ 2 = 16885) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33770 ÷ 5 = 6754) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 | Yes (33770 ÷ 10 = 3377) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33770 ÷ 11 = 3070) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33770 a prime number?
No. 33770 = 2 × 5 × 11 × 307, so it is divisible by 2.
What are the factors of 33770?
1, 2, 5, 10, 11, 22, 55, 110, 307, 614, 1535, 3070, 3377, 6754, 16885, 33770.
What is 33770 in binary?
1000001111101010 (hexadecimal 83EA, octal 101752).
What is the square root of 33770?
About 183.7662.
Is 33770 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33770?
It is a composite number with 16 divisors.