The number 55244
55244 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1973. Divisors (12): 1, 2, 4, 7, 14, 28, 1973, 3946, 7892, 13811, 27622, 55244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55244: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55244 is composite. Its prime factorisation is
- 3
The divisors add up to 110544; without 55244 itself that is 55300, so 55244 is abundant (55300 is more than 55244). Euler's totient φ(55244) = 23664 numbers up to 55244 share no factor with it.
- 4
The digits of 55244 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55244 = 2^{2} \times 7 \times 1973 \]55244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110544 |
| Euler totient φ(n) | 23664 |
| Square | 3051899536 |
| Cube | 168599137966784 |
| Square root | 235.040422 (= 2√13811) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5244 × |
55244 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and forty-four |
| Binary (base 2) | 1101011111001100 |
| Octal (base 8) | 153714 |
| Hexadecimal (base 16) | D7CC |
| Base 3 | 2210210002 |
| As time | 55244 seconds = 15 h 20 min 44 s |
Is 55244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55244 ÷ 2 = 27622) | 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 (55244 ÷ 4 = 13811) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (55244 ÷ 7 = 7892) | 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 | No (remainder 4) | 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 55244 a prime number?
No. 55244 = × 7 × 1973, so it is divisible by 2.
What are the factors of 55244?
1, 2, 4, 7, 14, 28, 1973, 3946, 7892, 13811, 27622, 55244.
What is 55244 in binary?
1101011111001100 (hexadecimal D7CC, octal 153714).
What is the square root of 55244?
About 235.0404, exactly 2√13811.
Is 55244 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55244?
55244 is a happy number: repeatedly adding the squares of its digits reaches 1.