The number 54820
54820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2741. Divisors (12): 1, 2, 4, 5, 10, 20, 2741, 5482, 10964, 13705, 27410, 54820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54820: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54820 is composite. Its prime factorisation is
- 3
The divisors add up to 115164; without 54820 itself that is 60344, so 54820 is abundant (60344 is more than 54820). Euler's totient φ(54820) = 21920 numbers up to 54820 share no factor with it.
- 4
The digits of 54820 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54820 = 2^{2} \times 5 \times 2741 \]54820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115164 |
| Euler totient φ(n) | 21920 |
| Square | 3005232400 |
| Cube | 164746840168000 |
| Square root | 234.136712 (= 2√13705) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.482 × |
54820 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and twenty |
| Binary (base 2) | 1101011000100100 |
| Octal (base 8) | 153044 |
| Hexadecimal (base 16) | D624 |
| Base 3 | 2210012101 |
| As time | 54820 seconds = 15 h 13 min 40 s |
Is 54820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54820 ÷ 2 = 27410) | 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 (54820 ÷ 4 = 13705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54820 ÷ 5 = 10964) | 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 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54820 ÷ 10 = 5482) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 54820 a prime number?
No. 54820 = × 5 × 2741, so it is divisible by 2.
What are the factors of 54820?
1, 2, 4, 5, 10, 20, 2741, 5482, 10964, 13705, 27410, 54820.
What is 54820 in binary?
1101011000100100 (hexadecimal D624, octal 153044).
What is the square root of 54820?
About 234.1367, exactly 2√13705.
Is 54820 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 54820?
54820 is a happy number: repeatedly adding the squares of its digits reaches 1.