The number 48435
48435 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 3229. Divisors (8): 1, 3, 5, 15, 3229, 9687, 16145, 48435.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48435: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48435 is composite. Its prime factorisation is
- 3
The divisors add up to 77520; without 48435 itself that is 29085, so 48435 is deficient (29085 is less than 48435). Euler's totient φ(48435) = 25824 numbers up to 48435 share no factor with it.
- 4
The digits of 48435 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48435 = 3 \times 5 \times 3229 \]
48435 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77520 |
| Euler totient φ(n) | 25824 |
| Square | 2345949225 |
| Cube | 113626050712875 |
| Square root | 220.079531 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8435 × |
48435 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and thirty-five |
| Binary (base 2) | 1011110100110011 |
| Octal (base 8) | 136463 |
| Hexadecimal (base 16) | BD33 |
| Base 3 | 2110102220 |
| As time | 48435 seconds = 13 h 27 min 15 s |
Is 48435 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48435 ÷ 3 = 16145) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48435 ÷ 5 = 9687) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48435 a prime number?
No. 48435 = 3 × 5 × 3229, so it is divisible by 3.
What are the factors of 48435?
1, 3, 5, 15, 3229, 9687, 16145, 48435.
What is 48435 in binary?
1011110100110011 (hexadecimal BD33, octal 136463).
What is the square root of 48435?
About 220.0795.
Is 48435 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48435?
48435 is a happy number: repeatedly adding the squares of its digits reaches 1.