The number 55404
55404 is a composite number with 42 divisors. Its prime factorisation is × × 19. Divisors (42): 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81 … 55404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55404: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
55404 is composite. Its prime factorisation is
- 3
The divisors add up to 153020; without 55404 itself that is 97616, so 55404 is abundant (97616 is more than 55404). Euler's totient φ(55404) = 17496 numbers up to 55404 share no factor with it.
- 4
The digits of 55404 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55404 = 2^{2} \times 3^{6} \times 19 \]55404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 153020 |
| Euler totient φ(n) | 17496 |
| Square | 3069603216 |
| Cube | 170068296579264 |
| Square root | 235.380543 (= 54√19) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.5404 × |
55404 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and four |
| Binary (base 2) | 1101100001101100 |
| Octal (base 8) | 154154 |
| Hexadecimal (base 16) | D86C |
| Base 3 | 2211000000 |
| As time | 55404 seconds = 15 h 23 min 24 s |
Is 55404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55404 ÷ 2 = 27702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55404 ÷ 3 = 18468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55404 ÷ 4 = 13851) | 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 (55404 ÷ 6 = 9234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (55404 ÷ 9 = 6156) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55404 ÷ 12 = 4617) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55404 a prime number?
No. 55404 = × × 19, so it is divisible by 2.
What are the factors of 55404?
1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 243, 324, 342, 486, 513, 684, 729, 972, 1026, 1458, 1539, 2052, 2916, 3078, 4617, 6156, 9234, 13851, 18468, 27702, 55404.
What is 55404 in binary?
1101100001101100 (hexadecimal D86C, octal 154154).
What is the square root of 55404?
About 235.3805, exactly 54√19.
Is 55404 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55404?
55404 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.