The number 49926
49926 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 53 × 157. Divisors (16): 1, 2, 3, 6, 53, 106, 157, 159, 314, 318, 471, 942, 8321, 16642, 24963, 49926.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49926 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49926 is composite. Its prime factorisation is
- 3
The divisors add up to 102384; without 49926 itself that is 52458, so 49926 is abundant (52458 is more than 49926). Euler's totient φ(49926) = 16224 numbers up to 49926 share no factor with it.
- 4
The digits of 49926 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49926 = 2 \times 3 \times 53 \times 157 \]
49926 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102384 |
| Euler totient φ(n) | 16224 |
| Square | 2492605476 |
| Cube | 124445820994776 |
| Square root | 223.441267 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9926 × |
49926 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and twenty-six |
| Binary (base 2) | 1100001100000110 |
| Octal (base 8) | 141406 |
| Hexadecimal (base 16) | C306 |
| Base 3 | 2112111010 |
| As time | 49926 seconds = 13 h 52 min 6 s |
Is 49926 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49926 ÷ 2 = 24963) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49926 ÷ 3 = 16642) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49926 ÷ 6 = 8321) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49926 a prime number?
No. 49926 = 2 × 3 × 53 × 157, so it is divisible by 2.
What are the factors of 49926?
1, 2, 3, 6, 53, 106, 157, 159, 314, 318, 471, 942, 8321, 16642, 24963, 49926.
What is 49926 in binary?
1100001100000110 (hexadecimal C306, octal 141406).
What is the square root of 49926?
About 223.4413.
Is 49926 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49926?
It is a composite number with 16 divisors.