The number 33399
33399 is a composite number with 8 divisors. Its prime factorisation is × 1237. Divisors (8): 1, 3, 9, 27, 1237, 3711, 11133, 33399.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33399: a Harshad number: divisible by its digit sum 27.
- 2
33399 is composite. Its prime factorisation is
- 3
The divisors add up to 49520; without 33399 itself that is 16121, so 33399 is deficient (16121 is less than 33399). Euler's totient φ(33399) = 22248 numbers up to 33399 share no factor with it.
- 4
The digits of 33399 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33399 = 3^{3} \times 1237 \]33399 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49520 |
| Euler totient φ(n) | 22248 |
| Square | 1115493201 |
| Cube | 37256357420199 |
| Square root | 182.753933 (= 3√3711) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3399 × |
33399 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and ninety-nine |
| Binary (base 2) | 1000001001110111 |
| Octal (base 8) | 101167 |
| Hexadecimal (base 16) | 8277 |
| Base 3 | 1200211000 |
| As time | 33399 seconds = 9 h 16 min 39 s |
Is 33399 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 (33399 ÷ 3 = 11133) | 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 4) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33399 ÷ 9 = 3711) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33399 a prime number?
No. 33399 = × 1237, so it is divisible by 3.
What are the factors of 33399?
1, 3, 9, 27, 1237, 3711, 11133, 33399.
What is 33399 in binary?
1000001001110111 (hexadecimal 8277, octal 101167).
What is the square root of 33399?
About 182.7539, exactly 3√3711.
Is 33399 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33399?
33399 is a Harshad number: divisible by its digit sum 27.