The number 43248
43248 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 53. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 53, 68, 102 … 43248.
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How to work it out
- 1
What is special about 43248: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43248 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 43248 itself that is 77280, so 43248 is abundant (77280 is more than 43248). Euler's totient φ(43248) = 13312 numbers up to 43248 share no factor with it.
- 4
The digits of 43248 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43248 = 2^{4} \times 3 \times 17 \times 53 \]43248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 13312 |
| Square | 1870389504 |
| Cube | 80890605268992 |
| Square root | 207.961535 (= 4√2703) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3248 × |
43248 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and forty-eight |
| Binary (base 2) | 1010100011110000 |
| Octal (base 8) | 124360 |
| Hexadecimal (base 16) | A8F0 |
| Base 3 | 2012022210 |
| As time | 43248 seconds = 12 h 0 min 48 s |
Is 43248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43248 ÷ 2 = 21624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43248 ÷ 3 = 14416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43248 ÷ 4 = 10812) | 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 (43248 ÷ 6 = 7208) | 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 | Yes (43248 ÷ 8 = 5406) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43248 ÷ 12 = 3604) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43248 a prime number?
No. 43248 = × 3 × 17 × 53, so it is divisible by 2.
What are the factors of 43248?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 53, 68, 102, 106, 136, 159, 204, 212, 272, 318, 408, 424, 636, 816, 848, 901, 1272, 1802, 2544, 2703, 3604, 5406, 7208, 10812, 14416, 21624, 43248.
What is 43248 in binary?
1010100011110000 (hexadecimal A8F0, octal 124360).
What is the square root of 43248?
About 207.9615, exactly 4√2703.
Is 43248 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43248?
43248 is a happy number: repeatedly adding the squares of its digits reaches 1.