The number 33001
33001 is a composite number with 4 divisors. Its prime factorisation is 61 × 541. Divisors (4): 1, 61, 541, 33001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33001: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 541, the product of two primes.
- 2
33001 is composite. Its prime factorisation is
- 3
The divisors add up to 33604; without 33001 itself that is 603, so 33001 is deficient (603 is less than 33001). Euler's totient φ(33001) = 32400 numbers up to 33001 share no factor with it.
- 4
The digits of 33001 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 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33001 = 61 \times 541 \]
33001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33604 |
| Euler totient φ(n) | 32400 |
| Square | 1089066001 |
| Cube | 35940267099001 |
| Square root | 181.661774 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.3001 × |
33001 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and one |
| Binary (base 2) | 1000000011101001 |
| Octal (base 8) | 100351 |
| Hexadecimal (base 16) | 80E9 |
| Base 3 | 1200021021 |
| As time | 33001 seconds = 9 h 10 min 1 s |
Is 33001 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33001 a prime number?
No. 33001 = 61 × 541, so it is divisible by 61.
What are the factors of 33001?
1, 61, 541, 33001.
What is 33001 in binary?
1000000011101001 (hexadecimal 80E9, octal 100351).
What is the square root of 33001?
About 181.6618.
Is 33001 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 33001?
33001 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 541, the product of two primes.