The number 48996
48996 is a composite number with 18 divisors. Its prime factorisation is × × 1361. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1361, 2722, 4083, 5444, 8166, 12249, 16332 … 48996.
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How to work it out
- 1
What is special about 48996: a Harshad number: divisible by its digit sum 36.
- 2
48996 is composite. Its prime factorisation is
- 3
The divisors add up to 123942; without 48996 itself that is 74946, so 48996 is abundant (74946 is more than 48996). Euler's totient φ(48996) = 16320 numbers up to 48996 share no factor with it.
- 4
The digits of 48996 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48996 = 2^{2} \times 3^{2} \times 1361 \]48996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 123942 |
| Euler totient φ(n) | 16320 |
| Square | 2400608016 |
| Cube | 117620190351936 |
| Square root | 221.350401 (= 6√1361) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8996 × |
48996 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and ninety-six |
| Binary (base 2) | 1011111101100100 |
| Octal (base 8) | 137544 |
| Hexadecimal (base 16) | BF64 |
| Base 3 | 2111012200 |
| As time | 48996 seconds = 13 h 36 min 36 s |
Is 48996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48996 ÷ 2 = 24498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48996 ÷ 3 = 16332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48996 ÷ 4 = 12249) | 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 | Yes (48996 ÷ 6 = 8166) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48996 ÷ 9 = 5444) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48996 ÷ 12 = 4083) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48996 a prime number?
No. 48996 = × × 1361, so it is divisible by 2.
What are the factors of 48996?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1361, 2722, 4083, 5444, 8166, 12249, 16332, 24498, 48996.
What is 48996 in binary?
1011111101100100 (hexadecimal BF64, octal 137544).
What is the square root of 48996?
About 221.3504, exactly 6√1361.
Is 48996 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 48996?
48996 is a Harshad number: divisible by its digit sum 36.