The number 33957
33957 is a composite number with 24 divisors. Its prime factorisation is × × 11. Divisors (24): 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 343, 441, 539 … 33957.
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How to work it out
- 1
33957 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33957 is composite. Its prime factorisation is
- 3
The divisors add up to 62400; without 33957 itself that is 28443, so 33957 is deficient (28443 is less than 33957). Euler's totient φ(33957) = 17640 numbers up to 33957 share no factor with it.
- 4
The digits of 33957 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33957 = 3^{2} \times 7^{3} \times 11 \]33957 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62400 |
| Euler totient φ(n) | 17640 |
| Square | 1153077849 |
| Cube | 39155064518493 |
| Square root | 184.274252 (= 21√77) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3957 × |
33957 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and fifty-seven |
| Binary (base 2) | 1000010010100101 |
| Octal (base 8) | 102245 |
| Hexadecimal (base 16) | 84A5 |
| Base 3 | 1201120200 |
| As time | 33957 seconds = 9 h 25 min 57 s |
Is 33957 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 (33957 ÷ 3 = 11319) | 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 | Yes (33957 ÷ 7 = 4851) | 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 | Yes (33957 ÷ 9 = 3773) | 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 | Yes (33957 ÷ 11 = 3087) | 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 33957 a prime number?
No. 33957 = × × 11, so it is divisible by 3.
What are the factors of 33957?
1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 343, 441, 539, 693, 1029, 1617, 3087, 3773, 4851, 11319, 33957.
What is 33957 in binary?
1000010010100101 (hexadecimal 84A5, octal 102245).
What is the square root of 33957?
About 184.2743, exactly 21√77.
Is 33957 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33957?
It is a composite number with 24 divisors.