The number 49976
49976 is a composite number with 8 divisors. Its prime factorisation is × 6247. Divisors (8): 1, 2, 4, 8, 6247, 12494, 24988, 49976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49976: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49976 is composite. Its prime factorisation is
- 3
The divisors add up to 93720; without 49976 itself that is 43744, so 49976 is deficient (43744 is less than 49976). Euler's totient φ(49976) = 24984 numbers up to 49976 share no factor with it.
- 4
The digits of 49976 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49976 = 2^{3} \times 6247 \]49976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93720 |
| Euler totient φ(n) | 24984 |
| Square | 2497600576 |
| Cube | 124820086386176 |
| Square root | 223.553126 (= 2√12494) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9976 × |
49976 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and seventy-six |
| Binary (base 2) | 1100001100111000 |
| Octal (base 8) | 141470 |
| Hexadecimal (base 16) | C338 |
| Base 3 | 2112112222 |
| As time | 49976 seconds = 13 h 52 min 56 s |
Is 49976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49976 ÷ 2 = 24988) | 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 (49976 ÷ 4 = 12494) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (49976 ÷ 8 = 6247) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 49976 a prime number?
No. 49976 = × 6247, so it is divisible by 2.
What are the factors of 49976?
1, 2, 4, 8, 6247, 12494, 24988, 49976.
What is 49976 in binary?
1100001100111000 (hexadecimal C338, octal 141470).
What is the square root of 49976?
About 223.5531, exactly 2√12494.
Is 49976 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 49976?
49976 is a happy number: repeatedly adding the squares of its digits reaches 1.