The number 54980
54980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2749. Divisors (12): 1, 2, 4, 5, 10, 20, 2749, 5498, 10996, 13745, 27490, 54980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54980 is composite. Its prime factorisation is
- 3
The divisors add up to 115500; without 54980 itself that is 60520, so 54980 is abundant (60520 is more than 54980). Euler's totient φ(54980) = 21984 numbers up to 54980 share no factor with it.
- 4
The digits of 54980 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54980 = 2^{2} \times 5 \times 2749 \]54980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115500 |
| Euler totient φ(n) | 21984 |
| Square | 3022800400 |
| Cube | 166193565992000 |
| Square root | 234.478144 (= 2√13745) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.498 × |
54980 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and eighty |
| Binary (base 2) | 1101011011000100 |
| Octal (base 8) | 153304 |
| Hexadecimal (base 16) | D6C4 |
| Base 3 | 2210102022 |
| As time | 54980 seconds = 15 h 16 min 20 s |
Is 54980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54980 ÷ 2 = 27490) | 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 (54980 ÷ 4 = 13745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54980 ÷ 5 = 10996) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54980 ÷ 10 = 5498) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54980 a prime number?
No. 54980 = × 5 × 2749, so it is divisible by 2.
What are the factors of 54980?
1, 2, 4, 5, 10, 20, 2749, 5498, 10996, 13745, 27490, 54980.
What is 54980 in binary?
1101011011000100 (hexadecimal D6C4, octal 153304).
What is the square root of 54980?
About 234.4781, exactly 2√13745.
Is 54980 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 54980?
It is a composite number with 12 divisors.