The number 33200
33200 is a composite number with 30 divisors. Its prime factorisation is × × 83. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 83, 100, 166, 200 … 33200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33200: a Harshad number: divisible by its digit sum 8.
- 2
33200 is composite. Its prime factorisation is
- 3
The divisors add up to 80724; without 33200 itself that is 47524, so 33200 is abundant (47524 is more than 33200). Euler's totient φ(33200) = 13120 numbers up to 33200 share no factor with it.
- 4
The digits of 33200 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33200 = 2^{4} \times 5^{2} \times 83 \]33200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 80724 |
| Euler totient φ(n) | 13120 |
| Square | 1102240000 |
| Cube | 36594368000000 |
| Square root | 182.208672 (= 20√83) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.32 × |
33200 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred |
| Binary (base 2) | 1000000110110000 |
| Octal (base 8) | 100660 |
| Hexadecimal (base 16) | 81B0 |
| Base 3 | 1200112122 |
| As time | 33200 seconds = 9 h 13 min 20 s |
Is 33200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33200 ÷ 2 = 16600) | 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 | Yes (33200 ÷ 4 = 8300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33200 ÷ 5 = 6640) | 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 6) | 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 | Yes (33200 ÷ 8 = 4150) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33200 ÷ 10 = 3320) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33200 a prime number?
No. 33200 = × × 83, so it is divisible by 2.
What are the factors of 33200?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 83, 100, 166, 200, 332, 400, 415, 664, 830, 1328, 1660, 2075, 3320, 4150, 6640, 8300, 16600, 33200.
What is 33200 in binary?
1000000110110000 (hexadecimal 81B0, octal 100660).
What is the square root of 33200?
About 182.2087, exactly 20√83.
Is 33200 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 33200?
33200 is a Harshad number: divisible by its digit sum 8.