The number 48872
48872 is a composite number with 16 divisors. Its prime factorisation is × 41 × 149. Divisors (16): 1, 2, 4, 8, 41, 82, 149, 164, 298, 328, 596, 1192, 6109, 12218, 24436, 48872.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48872 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48872 is composite. Its prime factorisation is
- 3
The divisors add up to 94500; without 48872 itself that is 45628, so 48872 is deficient (45628 is less than 48872). Euler's totient φ(48872) = 23680 numbers up to 48872 share no factor with it.
- 4
The digits of 48872 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48872 = 2^{3} \times 41 \times 149 \]48872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94500 |
| Euler totient φ(n) | 23680 |
| Square | 2388472384 |
| Cube | 116729422350848 |
| Square root | 221.070125 (= 2√12218) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8872 × |
48872 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and seventy-two |
| Binary (base 2) | 1011111011101000 |
| Octal (base 8) | 137350 |
| Hexadecimal (base 16) | BEE8 |
| Base 3 | 2111001002 |
| As time | 48872 seconds = 13 h 34 min 32 s |
Is 48872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48872 ÷ 2 = 24436) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48872 ÷ 4 = 12218) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (48872 ÷ 8 = 6109) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48872 a prime number?
No. 48872 = × 41 × 149, so it is divisible by 2.
What are the factors of 48872?
1, 2, 4, 8, 41, 82, 149, 164, 298, 328, 596, 1192, 6109, 12218, 24436, 48872.
What is 48872 in binary?
1011111011101000 (hexadecimal BEE8, octal 137350).
What is the square root of 48872?
About 221.0701, exactly 2√12218.
Is 48872 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48872?
It is a composite number with 16 divisors.