The number 49748
49748 is a composite number with 6 divisors. Its prime factorisation is × 12437. Divisors (6): 1, 2, 4, 12437, 24874, 49748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49748 is composite. Its prime factorisation is
- 3
The divisors add up to 87066; without 49748 itself that is 37318, so 49748 is deficient (37318 is less than 49748). Euler's totient φ(49748) = 24872 numbers up to 49748 share no factor with it.
- 4
The digits of 49748 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49748 = 2^{2} \times 12437 \]49748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 87066 |
| Euler totient φ(n) | 24872 |
| Square | 2474863504 |
| Cube | 123119509596992 |
| Square root | 223.042597 (= 2√12437) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9748 × |
49748 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-eight |
| Binary (base 2) | 1100001001010100 |
| Octal (base 8) | 141124 |
| Hexadecimal (base 16) | C254 |
| Base 3 | 2112020112 |
| As time | 49748 seconds = 13 h 49 min 8 s |
Is 49748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49748 ÷ 2 = 24874) | 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 (49748 ÷ 4 = 12437) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49748 a prime number?
No. 49748 = × 12437, so it is divisible by 2.
What are the factors of 49748?
1, 2, 4, 12437, 24874, 49748.
What is 49748 in binary?
1100001001010100 (hexadecimal C254, octal 141124).
What is the square root of 49748?
About 223.0426, exactly 2√12437.
Is 49748 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49748?
49748 is a happy number: repeatedly adding the squares of its digits reaches 1.