The number 72033
72033 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1847. Divisors (8): 1, 3, 13, 39, 1847, 5541, 24011, 72033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72033 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72033 is composite. Its prime factorisation is
- 3
The divisors add up to 103488; without 72033 itself that is 31455, so 72033 is deficient (31455 is less than 72033). Euler's totient φ(72033) = 44304 numbers up to 72033 share no factor with it.
- 4
The digits of 72033 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72033 = 3 \times 13 \times 1847 \]
72033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103488 |
| Euler totient φ(n) | 44304 |
| Square | 5188753089 |
| Cube | 373761451259937 |
| Square root | 268.389642 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2033 × |
72033 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and thirty-three |
| Binary (base 2) | 10001100101100001 |
| Octal (base 8) | 214541 |
| Hexadecimal (base 16) | 11961 |
| Base 3 | 10122210220 |
| As time | 72033 seconds = 20 h 0 min 33 s |
Is 72033 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 (72033 ÷ 3 = 24011) | 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 3) | 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 6) | 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 5) | 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 72033 a prime number?
No. 72033 = 3 × 13 × 1847, so it is divisible by 3.
What are the factors of 72033?
1, 3, 13, 39, 1847, 5541, 24011, 72033.
What is 72033 in binary?
10001100101100001 (hexadecimal 11961, octal 214541).
What is the square root of 72033?
About 268.3896.
Is 72033 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72033?
It is a composite number with 8 divisors.