The number 49998
49998 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 641. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 641, 1282, 1923, 3846, 8333, 16666, 24999, 49998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49998: a Harshad number: divisible by its digit sum 39.
- 2
49998 is composite. Its prime factorisation is
- 3
The divisors add up to 107856; without 49998 itself that is 57858, so 49998 is abundant (57858 is more than 49998). Euler's totient φ(49998) = 15360 numbers up to 49998 share no factor with it.
- 4
The digits of 49998 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49998 = 2 \times 3 \times 13 \times 641 \]
49998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107856 |
| Euler totient φ(n) | 15360 |
| Square | 2499800004 |
| Cube | 124985000599992 |
| Square root | 223.602326 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.9998 × |
49998 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and ninety-eight |
| Binary (base 2) | 1100001101001110 |
| Octal (base 8) | 141516 |
| Hexadecimal (base 16) | C34E |
| Base 3 | 2112120210 |
| As time | 49998 seconds = 13 h 53 min 18 s |
Is 49998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49998 ÷ 2 = 24999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49998 ÷ 3 = 16666) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49998 ÷ 6 = 8333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49998 a prime number?
No. 49998 = 2 × 3 × 13 × 641, so it is divisible by 2.
What are the factors of 49998?
1, 2, 3, 6, 13, 26, 39, 78, 641, 1282, 1923, 3846, 8333, 16666, 24999, 49998.
What is 49998 in binary?
1100001101001110 (hexadecimal C34E, octal 141516).
What is the square root of 49998?
About 223.6023.
Is 49998 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 49998?
49998 is a Harshad number: divisible by its digit sum 39.