The number 33010
33010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3301. Divisors (8): 1, 2, 5, 10, 3301, 6602, 16505, 33010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33010: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33010 is composite. Its prime factorisation is
- 3
The divisors add up to 59436; without 33010 itself that is 26426, so 33010 is deficient (26426 is less than 33010). Euler's totient φ(33010) = 13200 numbers up to 33010 share no factor with it.
- 4
The digits of 33010 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33010 = 2 \times 5 \times 3301 \]
33010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59436 |
| Euler totient φ(n) | 13200 |
| Square | 1089660100 |
| Cube | 35969679901000 |
| Square root | 181.686543 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.301 × |
33010 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and ten |
| Binary (base 2) | 1000000011110010 |
| Octal (base 8) | 100362 |
| Hexadecimal (base 16) | 80F2 |
| Base 3 | 1200021121 |
| As time | 33010 seconds = 9 h 10 min 10 s |
Is 33010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33010 ÷ 2 = 16505) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33010 ÷ 5 = 6602) | 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 5) | 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 2) | 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 (33010 ÷ 10 = 3301) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33010 a prime number?
No. 33010 = 2 × 5 × 3301, so it is divisible by 2.
What are the factors of 33010?
1, 2, 5, 10, 3301, 6602, 16505, 33010.
What is 33010 in binary?
1000000011110010 (hexadecimal 80F2, octal 100362).
What is the square root of 33010?
About 181.6865.
Is 33010 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 33010?
33010 is a happy number: repeatedly adding the squares of its digits reaches 1.