The number 33100
33100 is a composite number with 18 divisors. Its prime factorisation is × × 331. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 331, 662, 1324, 1655, 3310, 6620, 8275 … 33100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33100: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33100 is composite. Its prime factorisation is
- 3
The divisors add up to 72044; without 33100 itself that is 38944, so 33100 is abundant (38944 is more than 33100). Euler's totient φ(33100) = 13200 numbers up to 33100 share no factor with it.
- 4
The digits of 33100 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33100 = 2^{2} \times 5^{2} \times 331 \]33100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 72044 |
| Euler totient φ(n) | 13200 |
| Square | 1095610000 |
| Cube | 36264691000000 |
| Square root | 181.934054 (= 10√331) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.31 × |
33100 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred |
| Binary (base 2) | 1000000101001100 |
| Octal (base 8) | 100514 |
| Hexadecimal (base 16) | 814C |
| Base 3 | 1200101221 |
| As time | 33100 seconds = 9 h 11 min 40 s |
Is 33100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33100 ÷ 2 = 16550) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33100 ÷ 4 = 8275) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33100 ÷ 5 = 6620) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33100 ÷ 10 = 3310) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33100 a prime number?
No. 33100 = × × 331, so it is divisible by 2.
What are the factors of 33100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 331, 662, 1324, 1655, 3310, 6620, 8275, 16550, 33100.
What is 33100 in binary?
1000000101001100 (hexadecimal 814C, octal 100514).
What is the square root of 33100?
About 181.9341, exactly 10√331.
Is 33100 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 33100?
33100 is a happy number: repeatedly adding the squares of its digits reaches 1.