The number 4988
4988 is a composite number with 12 divisors. Its prime factorisation is × 29 × 43. Divisors (12): 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4988: a Harshad number: divisible by its digit sum 29.
- 2
4988 is composite. Its prime factorisation is
- 3
The divisors add up to 9240; without 4988 itself that is 4252, so 4988 is deficient (4252 is less than 4988). Euler's totient φ(4988) = 2352 numbers up to 4988 share no factor with it.
- 4
The digits of 4988 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4988 = 2^{2} \times 29 \times 43 \]4988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9240 |
| Euler totient φ(n) | 2352 |
| Square | 24880144 |
| Cube | 124102158272 |
| Square root | 70.625774 (= 2√1247) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 4.988 × |
4988 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and eighty-eight |
| Binary (base 2) | 1001101111100 |
| Octal (base 8) | 11574 |
| Hexadecimal (base 16) | 137C |
| Base 3 | 20211202 |
| As time | 4988 seconds = 1 h 23 min 8 s |
Is 4988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4988 ÷ 2 = 2494) | 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 (4988 ÷ 4 = 1247) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 4988 a prime number?
No. 4988 = × 29 × 43, so it is divisible by 2.
What are the factors of 4988?
1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988.
What is 4988 in binary?
1001101111100 (hexadecimal 137C, octal 11574).
What is the square root of 4988?
About 70.6258, exactly 2√1247.
Is 4988 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 4988?
4988 is a Harshad number: divisible by its digit sum 29.