The number 33801
33801 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 593. Divisors (8): 1, 3, 19, 57, 593, 1779, 11267, 33801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33801 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 33801 itself that is 13719, so 33801 is deficient (13719 is less than 33801). Euler's totient φ(33801) = 21312 numbers up to 33801 share no factor with it.
- 4
The digits of 33801 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33801 = 3 \times 19 \times 593 \]
33801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 21312 |
| Square | 1142507601 |
| Cube | 38617899421401 |
| Square root | 183.850483 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3801 × |
33801 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and one |
| Binary (base 2) | 1000010000001001 |
| Octal (base 8) | 102011 |
| Hexadecimal (base 16) | 8409 |
| Base 3 | 1201100220 |
| As time | 33801 seconds = 9 h 23 min 21 s |
Is 33801 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 (33801 ÷ 3 = 11267) | 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 1) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33801 a prime number?
No. 33801 = 3 × 19 × 593, so it is divisible by 3.
What are the factors of 33801?
1, 3, 19, 57, 593, 1779, 11267, 33801.
What is 33801 in binary?
1000010000001001 (hexadecimal 8409, octal 102011).
What is the square root of 33801?
About 183.8505.
Is 33801 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33801?
It is a composite number with 8 divisors.