The number 48944
48944 is a composite number with 40 divisors. Its prime factorisation is × 7 × 19 × 23. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 19, 23, 28, 38, 46, 56, 76, 92, 112 … 48944.
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How to work it out
- 1
What is special about 48944: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48944 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 48944 itself that is 70096, so 48944 is abundant (70096 is more than 48944). Euler's totient φ(48944) = 19008 numbers up to 48944 share no factor with it.
- 4
The digits of 48944 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48944 = 2^{4} \times 7 \times 19 \times 23 \]48944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 19008 |
| Square | 2395515136 |
| Cube | 117246092816384 |
| Square root | 221.232909 (= 4√3059) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8944 × |
48944 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and forty-four |
| Binary (base 2) | 1011111100110000 |
| Octal (base 8) | 137460 |
| Hexadecimal (base 16) | BF30 |
| Base 3 | 2111010202 |
| As time | 48944 seconds = 13 h 35 min 44 s |
Is 48944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48944 ÷ 2 = 24472) | 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 (48944 ÷ 4 = 12236) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (48944 ÷ 7 = 6992) | 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 (48944 ÷ 8 = 6118) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48944 a prime number?
No. 48944 = × 7 × 19 × 23, so it is divisible by 2.
What are the factors of 48944?
1, 2, 4, 7, 8, 14, 16, 19, 23, 28, 38, 46, 56, 76, 92, 112, 133, 152, 161, 184, 266, 304, 322, 368, 437, 532, 644, 874, 1064, 1288, 1748, 2128, 2576, 3059, 3496, 6118, 6992, 12236, 24472, 48944.
What is 48944 in binary?
1011111100110000 (hexadecimal BF30, octal 137460).
What is the square root of 48944?
About 221.2329, exactly 4√3059.
Is 48944 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48944?
48944 is a happy number: repeatedly adding the squares of its digits reaches 1.