The number 72093
72093 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3433. Divisors (8): 1, 3, 7, 21, 3433, 10299, 24031, 72093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72093: a Harshad number: divisible by its digit sum 21.
- 2
72093 is composite. Its prime factorisation is
- 3
The divisors add up to 109888; without 72093 itself that is 37795, so 72093 is deficient (37795 is less than 72093). Euler's totient φ(72093) = 41184 numbers up to 72093 share no factor with it.
- 4
The digits of 72093 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72093 = 3 \times 7 \times 3433 \]
72093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109888 |
| Euler totient φ(n) | 41184 |
| Square | 5197400649 |
| Cube | 374696204988357 |
| Square root | 268.501397 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2093 × |
72093 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and ninety-three |
| Binary (base 2) | 10001100110011101 |
| Octal (base 8) | 214635 |
| Hexadecimal (base 16) | 1199D |
| Base 3 | 10122220010 |
| As time | 72093 seconds = 20 h 1 min 33 s |
Is 72093 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 (72093 ÷ 3 = 24031) | 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 | Yes (72093 ÷ 7 = 10299) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72093 a prime number?
No. 72093 = 3 × 7 × 3433, so it is divisible by 3.
What are the factors of 72093?
1, 3, 7, 21, 3433, 10299, 24031, 72093.
What is 72093 in binary?
10001100110011101 (hexadecimal 1199D, octal 214635).
What is the square root of 72093?
About 268.5014.
Is 72093 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72093?
72093 is a Harshad number: divisible by its digit sum 21.