The number 24272
24272 is a composite number with 20 divisors. Its prime factorisation is × 37 × 41. Divisors (20): 1, 2, 4, 8, 16, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1517 … 24272.
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How to work it out
- 1
24272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24272 is composite. Its prime factorisation is
- 3
The divisors add up to 49476; without 24272 itself that is 25204, so 24272 is abundant (25204 is more than 24272). Euler's totient φ(24272) = 11520 numbers up to 24272 share no factor with it.
- 4
The digits of 24272 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24272 = 2^{4} \times 37 \times 41 \]24272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 49476 |
| Euler totient φ(n) | 11520 |
| Square | 589129984 |
| Cube | 14299362971648 |
| Square root | 155.794737 (= 4√1517) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4272 × |
24272 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and seventy-two |
| Binary (base 2) | 101111011010000 |
| Octal (base 8) | 57320 |
| Hexadecimal (base 16) | 5ED0 |
| Base 3 | 1020021222 |
| As time | 24272 seconds = 6 h 44 min 32 s |
Is 24272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24272 ÷ 2 = 12136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24272 ÷ 4 = 6068) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (24272 ÷ 8 = 3034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24272 a prime number?
No. 24272 = × 37 × 41, so it is divisible by 2.
What are the factors of 24272?
1, 2, 4, 8, 16, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1517, 3034, 6068, 12136, 24272.
What is 24272 in binary?
101111011010000 (hexadecimal 5ED0, octal 57320).
What is the square root of 24272?
About 155.7947, exactly 4√1517.
Is 24272 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24272?
It is a composite number with 20 divisors.