The number 49874
49874 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2267. Divisors (8): 1, 2, 11, 22, 2267, 4534, 24937, 49874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49874: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49874 is composite. Its prime factorisation is
- 3
The divisors add up to 81648; without 49874 itself that is 31774, so 49874 is deficient (31774 is less than 49874). Euler's totient φ(49874) = 22660 numbers up to 49874 share no factor with it.
- 4
The digits of 49874 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49874 = 2 \times 11 \times 2267 \]
49874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81648 |
| Euler totient φ(n) | 22660 |
| Square | 2487415876 |
| Cube | 124057379399624 |
| Square root | 223.324875 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9874 × |
49874 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and seventy-four |
| Binary (base 2) | 1100001011010010 |
| Octal (base 8) | 141322 |
| Hexadecimal (base 16) | C2D2 |
| Base 3 | 2112102012 |
| As time | 49874 seconds = 13 h 51 min 14 s |
Is 49874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49874 ÷ 2 = 24937) | 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 | No (remainder 2) | 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 | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49874 ÷ 11 = 4534) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49874 a prime number?
No. 49874 = 2 × 11 × 2267, so it is divisible by 2.
What are the factors of 49874?
1, 2, 11, 22, 2267, 4534, 24937, 49874.
What is 49874 in binary?
1100001011010010 (hexadecimal C2D2, octal 141322).
What is the square root of 49874?
About 223.3249.
Is 49874 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49874?
49874 is a happy number: repeatedly adding the squares of its digits reaches 1.