The number 48405
48405 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 461. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 461, 1383, 2305, 3227, 6915, 9681, 16135, 48405.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48405: a Harshad number: divisible by its digit sum 21.
- 2
48405 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 48405 itself that is 40299, so 48405 is deficient (40299 is less than 48405). Euler's totient φ(48405) = 22080 numbers up to 48405 share no factor with it.
- 4
The digits of 48405 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
\[ 48405 = 3 \times 5 \times 7 \times 461 \]
48405 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 22080 |
| Square | 2343044025 |
| Cube | 113415046030125 |
| Square root | 220.011363 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8405 × |
48405 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and five |
| Binary (base 2) | 1011110100010101 |
| Octal (base 8) | 136425 |
| Hexadecimal (base 16) | BD15 |
| Base 3 | 2110101210 |
| As time | 48405 seconds = 13 h 26 min 45 s |
Is 48405 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 (48405 ÷ 3 = 16135) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48405 ÷ 5 = 9681) | 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 | Yes (48405 ÷ 7 = 6915) | 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 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48405 a prime number?
No. 48405 = 3 × 5 × 7 × 461, so it is divisible by 3.
What are the factors of 48405?
1, 3, 5, 7, 15, 21, 35, 105, 461, 1383, 2305, 3227, 6915, 9681, 16135, 48405.
What is 48405 in binary?
1011110100010101 (hexadecimal BD15, octal 136425).
What is the square root of 48405?
About 220.0114.
Is 48405 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48405?
48405 is a Harshad number: divisible by its digit sum 21.