The number 4033
4033 is a composite number with 4 divisors. Its prime factorisation is 37 × 109. Divisors (4): 1, 37, 109, 4033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4033: a semiprime: 37 × 109, the product of two primes.
- 2
4033 is composite. Its prime factorisation is
- 3
The divisors add up to 4180; without 4033 itself that is 147, so 4033 is deficient (147 is less than 4033). Euler's totient φ(4033) = 3888 numbers up to 4033 share no factor with it.
- 4
The digits of 4033 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4033 = 37 \times 109 \]
4033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4180 |
| Euler totient φ(n) | 3888 |
| Square | 16265089 |
| Cube | 65597103937 |
| Square root | 63.505905 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.033 × |
4033 in other forms
| Form | Value |
|---|---|
| In words | four thousand and thirty-three |
| Binary (base 2) | 111111000001 |
| Octal (base 8) | 7701 |
| Hexadecimal (base 16) | FC1 |
| Base 3 | 12112101 |
| As time | 4033 seconds = 1 h 7 min 13 s |
Is 4033 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 3) | 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 4033 a prime number?
No. 4033 = 37 × 109, so it is divisible by 37.
What are the factors of 4033?
1, 37, 109, 4033.
What is 4033 in binary?
111111000001 (hexadecimal FC1, octal 7701).
What is the square root of 4033?
About 63.5059.
Is 4033 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4033?
4033 is a semiprime: 37 × 109, the product of two primes.