The number 72993
72993 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 839. Divisors (8): 1, 3, 29, 87, 839, 2517, 24331, 72993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72993 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 72993 itself that is 27807, so 72993 is deficient (27807 is less than 72993). Euler's totient φ(72993) = 46928 numbers up to 72993 share no factor with it.
- 4
The digits of 72993 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72993 = 3 \times 29 \times 839 \]
72993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 46928 |
| Square | 5327978049 |
| Cube | 388905101730657 |
| Square root | 270.172167 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2993 × |
72993 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and ninety-three |
| Binary (base 2) | 10001110100100001 |
| Octal (base 8) | 216441 |
| Hexadecimal (base 16) | 11D21 |
| Base 3 | 10201010110 |
| As time | 72993 seconds = 20 h 16 min 33 s |
Is 72993 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 (72993 ÷ 3 = 24331) | 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 4) | 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 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 8) | 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 72993 a prime number?
No. 72993 = 3 × 29 × 839, so it is divisible by 3.
What are the factors of 72993?
1, 3, 29, 87, 839, 2517, 24331, 72993.
What is 72993 in binary?
10001110100100001 (hexadecimal 11D21, octal 216441).
What is the square root of 72993?
About 270.1722.
Is 72993 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 72993?
It is a composite number with 8 divisors.