The number 48345
48345 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 293. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 293, 879, 1465, 3223, 4395, 9669, 16115, 48345.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48345: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48345 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 48345 itself that is 36327, so 48345 is deficient (36327 is less than 48345). Euler's totient φ(48345) = 23360 numbers up to 48345 share no factor with it.
- 4
The digits of 48345 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48345 = 3 \times 5 \times 11 \times 293 \]
48345 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 23360 |
| Square | 2337239025 |
| Cube | 112993820663625 |
| Square root | 219.874964 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8345 × |
48345 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and forty-five |
| Binary (base 2) | 1011110011011001 |
| Octal (base 8) | 136331 |
| Hexadecimal (base 16) | BCD9 |
| Base 3 | 2110022120 |
| As time | 48345 seconds = 13 h 25 min 45 s |
Is 48345 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 (48345 ÷ 3 = 16115) | 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 (48345 ÷ 5 = 9669) | 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 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 | No (remainder 1) | 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 | Yes (48345 ÷ 11 = 4395) | 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 48345 a prime number?
No. 48345 = 3 × 5 × 11 × 293, so it is divisible by 3.
What are the factors of 48345?
1, 3, 5, 11, 15, 33, 55, 165, 293, 879, 1465, 3223, 4395, 9669, 16115, 48345.
What is 48345 in binary?
1011110011011001 (hexadecimal BCD9, octal 136331).
What is the square root of 48345?
About 219.8750.
Is 48345 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48345?
48345 is a happy number: repeatedly adding the squares of its digits reaches 1.