The number 72438
72438 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12073. Divisors (8): 1, 2, 3, 6, 12073, 24146, 36219, 72438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72438 is composite. Its prime factorisation is
- 3
The divisors add up to 144888; without 72438 itself that is 72450, so 72438 is abundant (72450 is more than 72438). Euler's totient φ(72438) = 24144 numbers up to 72438 share no factor with it.
- 4
The digits of 72438 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72438 = 2 \times 3 \times 12073 \]
72438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144888 |
| Euler totient φ(n) | 24144 |
| Square | 5247263844 |
| Cube | 380101298331672 |
| Square root | 269.143085 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2438 × |
72438 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and thirty-eight |
| Binary (base 2) | 10001101011110110 |
| Octal (base 8) | 215366 |
| Hexadecimal (base 16) | 11AF6 |
| Base 3 | 10200100220 |
| As time | 72438 seconds = 20 h 7 min 18 s |
Is 72438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72438 ÷ 2 = 36219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72438 ÷ 3 = 24146) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (72438 ÷ 6 = 12073) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72438 a prime number?
No. 72438 = 2 × 3 × 12073, so it is divisible by 2.
What are the factors of 72438?
1, 2, 3, 6, 12073, 24146, 36219, 72438.
What is 72438 in binary?
10001101011110110 (hexadecimal 11AF6, octal 215366).
What is the square root of 72438?
About 269.1431.
Is 72438 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72438?
It is a composite number with 8 divisors.