The number 48432
48432 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1009. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1009, 2018, 3027, 4036, 6054, 8072 … 48432.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48432: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48432 is composite. Its prime factorisation is
- 3
The divisors add up to 125240; without 48432 itself that is 76808, so 48432 is abundant (76808 is more than 48432). Euler's totient φ(48432) = 16128 numbers up to 48432 share no factor with it.
- 4
The digits of 48432 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48432 = 2^{4} \times 3 \times 1009 \]48432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 125240 |
| Euler totient φ(n) | 16128 |
| Square | 2345658624 |
| Cube | 113604938477568 |
| Square root | 220.072715 (= 4√3027) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8432 × |
48432 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and thirty-two |
| Binary (base 2) | 1011110100110000 |
| Octal (base 8) | 136460 |
| Hexadecimal (base 16) | BD30 |
| Base 3 | 2110102210 |
| As time | 48432 seconds = 13 h 27 min 12 s |
Is 48432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48432 ÷ 2 = 24216) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48432 ÷ 3 = 16144) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48432 ÷ 4 = 12108) | 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 | Yes (48432 ÷ 6 = 8072) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (48432 ÷ 8 = 6054) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48432 ÷ 12 = 4036) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48432 a prime number?
No. 48432 = × 3 × 1009, so it is divisible by 2.
What are the factors of 48432?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216, 48432.
What is 48432 in binary?
1011110100110000 (hexadecimal BD30, octal 136460).
What is the square root of 48432?
About 220.0727, exactly 4√3027.
Is 48432 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48432?
48432 is a happy number: repeatedly adding the squares of its digits reaches 1.