The number 33355
33355 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 953. Divisors (8): 1, 5, 7, 35, 953, 4765, 6671, 33355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33355 is composite. Its prime factorisation is
- 3
The divisors add up to 45792; without 33355 itself that is 12437, so 33355 is deficient (12437 is less than 33355). Euler's totient φ(33355) = 22848 numbers up to 33355 share no factor with it.
- 4
The digits of 33355 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33355 = 5 \times 7 \times 953 \]
33355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45792 |
| Euler totient φ(n) | 22848 |
| Square | 1112556025 |
| Cube | 37109306213875 |
| Square root | 182.633513 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3355 × |
33355 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and fifty-five |
| Binary (base 2) | 1000001001001011 |
| Octal (base 8) | 101113 |
| Hexadecimal (base 16) | 824B |
| Base 3 | 1200202101 |
| As time | 33355 seconds = 9 h 15 min 55 s |
Is 33355 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33355 ÷ 5 = 6671) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33355 ÷ 7 = 4765) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33355 a prime number?
No. 33355 = 5 × 7 × 953, so it is divisible by 5.
What are the factors of 33355?
1, 5, 7, 35, 953, 4765, 6671, 33355.
What is 33355 in binary?
1000001001001011 (hexadecimal 824B, octal 101113).
What is the square root of 33355?
About 182.6335.
Is 33355 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33355?
It is a composite number with 8 divisors.