The number 33383
33383 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 251. Divisors (8): 1, 7, 19, 133, 251, 1757, 4769, 33383.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33383: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33383 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 33383 itself that is 6937, so 33383 is deficient (6937 is less than 33383). Euler's totient φ(33383) = 27000 numbers up to 33383 share no factor with it.
- 4
The digits of 33383 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33383 = 7 \times 19 \times 251 \]
33383 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 27000 |
| Square | 1114424689 |
| Cube | 37202839392887 |
| Square root | 182.710153 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3383 × |
33383 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eighty-three |
| Binary (base 2) | 1000001001100111 |
| Octal (base 8) | 101147 |
| Hexadecimal (base 16) | 8267 |
| Base 3 | 1200210102 |
| As time | 33383 seconds = 9 h 16 min 23 s |
Is 33383 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 2) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33383 ÷ 7 = 4769) | 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 7) | 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 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33383 a prime number?
No. 33383 = 7 × 19 × 251, so it is divisible by 7.
What are the factors of 33383?
1, 7, 19, 133, 251, 1757, 4769, 33383.
What is 33383 in binary?
1000001001100111 (hexadecimal 8267, octal 101147).
What is the square root of 33383?
About 182.7102.
Is 33383 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33383?
33383 is a happy number: repeatedly adding the squares of its digits reaches 1.