The number 33501
33501 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 859. Divisors (8): 1, 3, 13, 39, 859, 2577, 11167, 33501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33501 is composite. Its prime factorisation is
- 3
The divisors add up to 48160; without 33501 itself that is 14659, so 33501 is deficient (14659 is less than 33501). Euler's totient φ(33501) = 20592 numbers up to 33501 share no factor with it.
- 4
The digits of 33501 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33501 = 3 \times 13 \times 859 \]
33501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48160 |
| Euler totient φ(n) | 20592 |
| Square | 1122317001 |
| Cube | 37598741850501 |
| Square root | 183.032784 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3501 × |
33501 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and one |
| Binary (base 2) | 1000001011011101 |
| Octal (base 8) | 101335 |
| Hexadecimal (base 16) | 82DD |
| Base 3 | 1200221210 |
| As time | 33501 seconds = 9 h 18 min 21 s |
Is 33501 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33501 ÷ 3 = 11167) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33501 a prime number?
No. 33501 = 3 × 13 × 859, so it is divisible by 3.
What are the factors of 33501?
1, 3, 13, 39, 859, 2577, 11167, 33501.
What is 33501 in binary?
1000001011011101 (hexadecimal 82DD, octal 101335).
What is the square root of 33501?
About 183.0328.
Is 33501 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33501?
33501 is a happy number: repeatedly adding the squares of its digits reaches 1.