The number 4998
4998 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 17. Divisors (24): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147 … 4998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4998 is composite. Its prime factorisation is
- 3
The divisors add up to 12312; without 4998 itself that is 7314, so 4998 is abundant (7314 is more than 4998). Euler's totient φ(4998) = 1344 numbers up to 4998 share no factor with it.
- 4
The digits of 4998 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 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4998 = 2 \times 3 \times 7^{2} \times 17 \]4998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12312 |
| Euler totient φ(n) | 1344 |
| Square | 24980004 |
| Cube | 124850059992 |
| Square root | 70.696535 (= 7√102) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 178 |
| Scientific notation | 4.998 × |
4998 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and ninety-eight |
| Binary (base 2) | 1001110000110 |
| Octal (base 8) | 11606 |
| Hexadecimal (base 16) | 1386 |
| Base 3 | 20212010 |
| As time | 4998 seconds = 1 h 23 min 18 s |
Is 4998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4998 ÷ 2 = 2499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4998 ÷ 3 = 1666) | 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 (4998 ÷ 6 = 833) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4998 ÷ 7 = 714) | 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 4) | 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 4998 a prime number?
No. 4998 = 2 × 3 × × 17, so it is divisible by 2.
What are the factors of 4998?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998.
What is 4998 in binary?
1001110000110 (hexadecimal 1386, octal 11606).
What is the square root of 4998?
About 70.6965, exactly 7√102.
Is 4998 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 4998?
It is a composite number with 24 divisors.