The number 48980
48980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 31 × 79. Divisors (24): 1, 2, 4, 5, 10, 20, 31, 62, 79, 124, 155, 158, 310, 316, 395, 620 … 48980.
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How to work it out
- 1
48980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48980 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 48980 itself that is 58540, so 48980 is abundant (58540 is more than 48980). Euler's totient φ(48980) = 18720 numbers up to 48980 share no factor with it.
- 4
The digits of 48980 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48980 = 2^{2} \times 5 \times 31 \times 79 \]48980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 18720 |
| Square | 2399040400 |
| Cube | 117504998792000 |
| Square root | 221.314256 (= 2√12245) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.898 × |
48980 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and eighty |
| Binary (base 2) | 1011111101010100 |
| Octal (base 8) | 137524 |
| Hexadecimal (base 16) | BF54 |
| Base 3 | 2111012002 |
| As time | 48980 seconds = 13 h 36 min 20 s |
Is 48980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48980 ÷ 2 = 24490) | 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 (48980 ÷ 4 = 12245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48980 ÷ 5 = 9796) | 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 1) | 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 | Yes (48980 ÷ 10 = 4898) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 48980 a prime number?
No. 48980 = × 5 × 31 × 79, so it is divisible by 2.
What are the factors of 48980?
1, 2, 4, 5, 10, 20, 31, 62, 79, 124, 155, 158, 310, 316, 395, 620, 790, 1580, 2449, 4898, 9796, 12245, 24490, 48980.
What is 48980 in binary?
1011111101010100 (hexadecimal BF54, octal 137524).
What is the square root of 48980?
About 221.3143, exactly 2√12245.
Is 48980 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48980?
It is a composite number with 24 divisors.