The number 72348
72348 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6029. Divisors (12): 1, 2, 3, 4, 6, 12, 6029, 12058, 18087, 24116, 36174, 72348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72348 is composite. Its prime factorisation is
- 3
The divisors add up to 168840; without 72348 itself that is 96492, so 72348 is abundant (96492 is more than 72348). Euler's totient φ(72348) = 24112 numbers up to 72348 share no factor with it.
- 4
The digits of 72348 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72348 = 2^{2} \times 3 \times 6029 \]72348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 168840 |
| Euler totient φ(n) | 24112 |
| Square | 5234233104 |
| Cube | 378686296608192 |
| Square root | 268.975835 (= 2√18087) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2348 × |
72348 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and forty-eight |
| Binary (base 2) | 10001101010011100 |
| Octal (base 8) | 215234 |
| Hexadecimal (base 16) | 11A9C |
| Base 3 | 10200020120 |
| As time | 72348 seconds = 20 h 5 min 48 s |
Is 72348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72348 ÷ 2 = 36174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72348 ÷ 3 = 24116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72348 ÷ 4 = 18087) | 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 (72348 ÷ 6 = 12058) | 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 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72348 ÷ 12 = 6029) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72348 a prime number?
No. 72348 = × 3 × 6029, so it is divisible by 2.
What are the factors of 72348?
1, 2, 3, 4, 6, 12, 6029, 12058, 18087, 24116, 36174, 72348.
What is 72348 in binary?
10001101010011100 (hexadecimal 11A9C, octal 215234).
What is the square root of 72348?
About 268.9758, exactly 2√18087.
Is 72348 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72348?
It is a composite number with 12 divisors.