The number 55044
55044 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 139. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132 … 55044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55044: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
55044 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 55044 itself that is 97836, so 55044 is abundant (97836 is more than 55044). Euler's totient φ(55044) = 16560 numbers up to 55044 share no factor with it.
- 4
The digits of 55044 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55044 = 2^{2} \times 3^{2} \times 11 \times 139 \]55044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 16560 |
| Square | 3029841936 |
| Cube | 166774619525184 |
| Square root | 234.614578 (= 6√1529) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5044 × |
55044 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and forty-four |
| Binary (base 2) | 1101011100000100 |
| Octal (base 8) | 153404 |
| Hexadecimal (base 16) | D704 |
| Base 3 | 2210111200 |
| As time | 55044 seconds = 15 h 17 min 24 s |
Is 55044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55044 ÷ 2 = 27522) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55044 ÷ 3 = 18348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55044 ÷ 4 = 13761) | 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 | Yes (55044 ÷ 6 = 9174) | 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 | Yes (55044 ÷ 9 = 6116) | 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 | Yes (55044 ÷ 11 = 5004) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55044 ÷ 12 = 4587) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55044 a prime number?
No. 55044 = × × 11 × 139, so it is divisible by 2.
What are the factors of 55044?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 139, 198, 278, 396, 417, 556, 834, 1251, 1529, 1668, 2502, 3058, 4587, 5004, 6116, 9174, 13761, 18348, 27522, 55044.
What is 55044 in binary?
1101011100000100 (hexadecimal D704, octal 153404).
What is the square root of 55044?
About 234.6146, exactly 6√1529.
Is 55044 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55044?
55044 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.