The number 33012
33012 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 131. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 33012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33012: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
33012 is composite. Its prime factorisation is
- 3
The divisors add up to 96096; without 33012 itself that is 63084, so 33012 is abundant (63084 is more than 33012). Euler's totient φ(33012) = 9360 numbers up to 33012 share no factor with it.
- 4
The digits of 33012 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
\[ 33012 = 2^{2} \times 3^{2} \times 7 \times 131 \]33012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 96096 |
| Euler totient φ(n) | 9360 |
| Square | 1089792144 |
| Cube | 35976218257728 |
| Square root | 181.692047 (= 6√917) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3012 × |
33012 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twelve |
| Binary (base 2) | 1000000011110100 |
| Octal (base 8) | 100364 |
| Hexadecimal (base 16) | 80F4 |
| Base 3 | 1200021200 |
| As time | 33012 seconds = 9 h 10 min 12 s |
Is 33012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33012 ÷ 2 = 16506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33012 ÷ 3 = 11004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33012 ÷ 4 = 8253) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33012 ÷ 6 = 5502) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33012 ÷ 7 = 4716) | 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 | Yes (33012 ÷ 9 = 3668) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (33012 ÷ 12 = 2751) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33012 a prime number?
No. 33012 = × × 7 × 131, so it is divisible by 2.
What are the factors of 33012?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 131, 252, 262, 393, 524, 786, 917, 1179, 1572, 1834, 2358, 2751, 3668, 4716, 5502, 8253, 11004, 16506, 33012.
What is 33012 in binary?
1000000011110100 (hexadecimal 80F4, octal 100364).
What is the square root of 33012?
About 181.6920, exactly 6√917.
Is 33012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 33012?
33012 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.