The number 48988
48988 is a composite number with 12 divisors. Its prime factorisation is × 37 × 331. Divisors (12): 1, 2, 4, 37, 74, 148, 331, 662, 1324, 12247, 24494, 48988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48988: a Harshad number: divisible by its digit sum 37.
- 2
48988 is composite. Its prime factorisation is
- 3
The divisors add up to 88312; without 48988 itself that is 39324, so 48988 is deficient (39324 is less than 48988). Euler's totient φ(48988) = 23760 numbers up to 48988 share no factor with it.
- 4
The digits of 48988 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48988 = 2^{2} \times 37 \times 331 \]48988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88312 |
| Euler totient φ(n) | 23760 |
| Square | 2399824144 |
| Cube | 117562585166272 |
| Square root | 221.332329 (= 2√12247) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8988 × |
48988 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and eighty-eight |
| Binary (base 2) | 1011111101011100 |
| Octal (base 8) | 137534 |
| Hexadecimal (base 16) | BF5C |
| Base 3 | 2111012101 |
| As time | 48988 seconds = 13 h 36 min 28 s |
Is 48988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48988 ÷ 2 = 24494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48988 ÷ 4 = 12247) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48988 a prime number?
No. 48988 = × 37 × 331, so it is divisible by 2.
What are the factors of 48988?
1, 2, 4, 37, 74, 148, 331, 662, 1324, 12247, 24494, 48988.
What is 48988 in binary?
1011111101011100 (hexadecimal BF5C, octal 137534).
What is the square root of 48988?
About 221.3323, exactly 2√12247.
Is 48988 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 48988?
48988 is a Harshad number: divisible by its digit sum 37.