The number 33076
33076 is a composite number with 6 divisors. Its prime factorisation is × 8269. Divisors (6): 1, 2, 4, 8269, 16538, 33076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33076: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33076 is composite. Its prime factorisation is
- 3
The divisors add up to 57890; without 33076 itself that is 24814, so 33076 is deficient (24814 is less than 33076). Euler's totient φ(33076) = 16536 numbers up to 33076 share no factor with it.
- 4
The digits of 33076 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33076 = 2^{2} \times 8269 \]33076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 57890 |
| Euler totient φ(n) | 16536 |
| Square | 1094021776 |
| Cube | 36185864262976 |
| Square root | 181.868084 (= 2√8269) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3076 × |
33076 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seventy-six |
| Binary (base 2) | 1000000100110100 |
| Octal (base 8) | 100464 |
| Hexadecimal (base 16) | 8134 |
| Base 3 | 1200101001 |
| As time | 33076 seconds = 9 h 11 min 16 s |
Is 33076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33076 ÷ 2 = 16538) | 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 (33076 ÷ 4 = 8269) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 33076 a prime number?
No. 33076 = × 8269, so it is divisible by 2.
What are the factors of 33076?
1, 2, 4, 8269, 16538, 33076.
What is 33076 in binary?
1000000100110100 (hexadecimal 8134, octal 100464).
What is the square root of 33076?
About 181.8681, exactly 2√8269.
Is 33076 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33076?
33076 is a happy number: repeatedly adding the squares of its digits reaches 1.