The number 33350
33350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 23 × 29. Divisors (24): 1, 2, 5, 10, 23, 25, 29, 46, 50, 58, 115, 145, 230, 290, 575, 667 … 33350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33350 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 33350 itself that is 33610, so 33350 is abundant (33610 is more than 33350). Euler's totient φ(33350) = 12320 numbers up to 33350 share no factor with it.
- 4
The digits of 33350 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33350 = 2 \times 5^{2} \times 23 \times 29 \]33350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 12320 |
| Square | 1112222500 |
| Cube | 37092620375000 |
| Square root | 182.619824 (= 5√1334) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.335 × |
33350 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and fifty |
| Binary (base 2) | 1000001001000110 |
| Octal (base 8) | 101106 |
| Hexadecimal (base 16) | 8246 |
| Base 3 | 1200202012 |
| As time | 33350 seconds = 9 h 15 min 50 s |
Is 33350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33350 ÷ 2 = 16675) | 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 (33350 ÷ 5 = 6670) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33350 ÷ 10 = 3335) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33350 a prime number?
No. 33350 = 2 × × 23 × 29, so it is divisible by 2.
What are the factors of 33350?
1, 2, 5, 10, 23, 25, 29, 46, 50, 58, 115, 145, 230, 290, 575, 667, 725, 1150, 1334, 1450, 3335, 6670, 16675, 33350.
What is 33350 in binary?
1000001001000110 (hexadecimal 8246, octal 101106).
What is the square root of 33350?
About 182.6198, exactly 5√1334.
Is 33350 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33350?
It is a composite number with 24 divisors.