The number 49875
49875 is a composite number with 32 divisors. Its prime factorisation is 3 × × 7 × 19. Divisors (32): 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 125, 133, 175 … 49875.
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How to work it out
- 1
49875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49875 is composite. Its prime factorisation is
- 3
The divisors add up to 99840; without 49875 itself that is 49965, so 49875 is abundant (49965 is more than 49875). Euler's totient φ(49875) = 21600 numbers up to 49875 share no factor with it.
- 4
The digits of 49875 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49875 = 3 \times 5^{3} \times 7 \times 19 \]49875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 99840 |
| Euler totient φ(n) | 21600 |
| Square | 2487515625 |
| Cube | 124064841796875 |
| Square root | 223.327114 (= 5√1995) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9875 × |
49875 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and seventy-five |
| Binary (base 2) | 1100001011010011 |
| Octal (base 8) | 141323 |
| Hexadecimal (base 16) | C2D3 |
| Base 3 | 2112102020 |
| As time | 49875 seconds = 13 h 51 min 15 s |
Is 49875 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 (49875 ÷ 3 = 16625) | 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 (49875 ÷ 5 = 9975) | 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 (49875 ÷ 7 = 7125) | 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 1) | 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 49875 a prime number?
No. 49875 = 3 × × 7 × 19, so it is divisible by 3.
What are the factors of 49875?
1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 125, 133, 175, 285, 375, 399, 475, 525, 665, 875, 1425, 1995, 2375, 2625, 3325, 7125, 9975, 16625, 49875.
What is 49875 in binary?
1100001011010011 (hexadecimal C2D3, octal 141323).
What is the square root of 49875?
About 223.3271, exactly 5√1995.
Is 49875 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49875?
It is a composite number with 32 divisors.