The number 55400
55400 is a composite number with 24 divisors. Its prime factorisation is × × 277. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 277, 554, 1108, 1385 … 55400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55400 is composite. Its prime factorisation is
- 3
The divisors add up to 129270; without 55400 itself that is 73870, so 55400 is abundant (73870 is more than 55400). Euler's totient φ(55400) = 22080 numbers up to 55400 share no factor with it.
- 4
The digits of 55400 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55400 = 2^{3} \times 5^{2} \times 277 \]55400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129270 |
| Euler totient φ(n) | 22080 |
| Square | 3069160000 |
| Cube | 170031464000000 |
| Square root | 235.372046 (= 10√554) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.54 × |
55400 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred |
| Binary (base 2) | 1101100001101000 |
| Octal (base 8) | 154150 |
| Hexadecimal (base 16) | D868 |
| Base 3 | 2210222212 |
| As time | 55400 seconds = 15 h 23 min 20 s |
Is 55400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55400 ÷ 2 = 27700) | 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 (55400 ÷ 4 = 13850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55400 ÷ 5 = 11080) | 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 | No (remainder 2) | 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 | Yes (55400 ÷ 8 = 6925) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55400 ÷ 10 = 5540) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 55400 a prime number?
No. 55400 = × × 277, so it is divisible by 2.
What are the factors of 55400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 277, 554, 1108, 1385, 2216, 2770, 5540, 6925, 11080, 13850, 27700, 55400.
What is 55400 in binary?
1101100001101000 (hexadecimal D868, octal 154150).
What is the square root of 55400?
About 235.3720, exactly 10√554.
Is 55400 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 55400?
It is a composite number with 24 divisors.