The number 54990
54990 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 13 × 47. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 47, 65 … 54990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54990: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54990 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 54990 itself that is 102258, so 54990 is abundant (102258 is more than 54990). Euler's totient φ(54990) = 13248 numbers up to 54990 share no factor with it.
- 4
The digits of 54990 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54990 = 2 \times 3^{2} \times 5 \times 13 \times 47 \]54990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 13248 |
| Square | 3023900100 |
| Cube | 166284266499000 |
| Square root | 234.499467 (= 3√6110) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.499 × |
54990 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and ninety |
| Binary (base 2) | 1101011011001110 |
| Octal (base 8) | 153316 |
| Hexadecimal (base 16) | D6CE |
| Base 3 | 2210102200 |
| As time | 54990 seconds = 15 h 16 min 30 s |
Is 54990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54990 ÷ 2 = 27495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54990 ÷ 3 = 18330) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54990 ÷ 5 = 10998) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54990 ÷ 6 = 9165) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54990 ÷ 9 = 6110) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54990 ÷ 10 = 5499) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54990 a prime number?
No. 54990 = 2 × × 5 × 13 × 47, so it is divisible by 2.
What are the factors of 54990?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 47, 65, 78, 90, 94, 117, 130, 141, 195, 234, 235, 282, 390, 423, 470, 585, 611, 705, 846, 1170, 1222, 1410, 1833, 2115, 3055, 3666, 4230, 5499, 6110, 9165, 10998, 18330, 27495, 54990.
What is 54990 in binary?
1101011011001110 (hexadecimal D6CE, octal 153316).
What is the square root of 54990?
About 234.4995, exactly 3√6110.
Is 54990 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 54990?
54990 is a happy number: repeatedly adding the squares of its digits reaches 1.