The number 48945
48945 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 251. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 251, 753, 1255, 3263, 3765, 9789, 16315, 48945.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48945 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48945 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 48945 itself that is 35727, so 48945 is deficient (35727 is less than 48945). Euler's totient φ(48945) = 24000 numbers up to 48945 share no factor with it.
- 4
The digits of 48945 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48945 = 3 \times 5 \times 13 \times 251 \]
48945 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 24000 |
| Square | 2395613025 |
| Cube | 117253279508625 |
| Square root | 221.235169 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8945 × |
48945 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and forty-five |
| Binary (base 2) | 1011111100110001 |
| Octal (base 8) | 137461 |
| Hexadecimal (base 16) | BF31 |
| Base 3 | 2111010210 |
| As time | 48945 seconds = 13 h 35 min 45 s |
Is 48945 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 (48945 ÷ 3 = 16315) | 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 (48945 ÷ 5 = 9789) | 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 1) | 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 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 6) | 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 48945 a prime number?
No. 48945 = 3 × 5 × 13 × 251, so it is divisible by 3.
What are the factors of 48945?
1, 3, 5, 13, 15, 39, 65, 195, 251, 753, 1255, 3263, 3765, 9789, 16315, 48945.
What is 48945 in binary?
1011111100110001 (hexadecimal BF31, octal 137461).
What is the square root of 48945?
About 221.2352.
Is 48945 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48945?
It is a composite number with 16 divisors.