The number 33201
33201 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 31. Divisors (24): 1, 3, 7, 9, 17, 21, 31, 51, 63, 93, 119, 153, 217, 279, 357, 527 … 33201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33201: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
33201 is composite. Its prime factorisation is
- 3
The divisors add up to 59904; without 33201 itself that is 26703, so 33201 is deficient (26703 is less than 33201). Euler's totient φ(33201) = 17280 numbers up to 33201 share no factor with it.
- 4
The digits of 33201 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33201 = 3^{2} \times 7 \times 17 \times 31 \]33201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 59904 |
| Euler totient φ(n) | 17280 |
| Square | 1102306401 |
| Cube | 36597674819601 |
| Square root | 182.211416 (= 3√3689) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3201 × |
33201 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and one |
| Binary (base 2) | 1000000110110001 |
| Octal (base 8) | 100661 |
| Hexadecimal (base 16) | 81B1 |
| Base 3 | 1200112200 |
| As time | 33201 seconds = 9 h 13 min 21 s |
Is 33201 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 (33201 ÷ 3 = 11067) | 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 | Yes (33201 ÷ 7 = 4743) | 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 | Yes (33201 ÷ 9 = 3689) | 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 3) | 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 33201 a prime number?
No. 33201 = × 7 × 17 × 31, so it is divisible by 3.
What are the factors of 33201?
1, 3, 7, 9, 17, 21, 31, 51, 63, 93, 119, 153, 217, 279, 357, 527, 651, 1071, 1581, 1953, 3689, 4743, 11067, 33201.
What is 33201 in binary?
1000000110110001 (hexadecimal 81B1, octal 100661).
What is the square root of 33201?
About 182.2114, exactly 3√3689.
Is 33201 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 33201?
33201 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.