The number 55398
55398 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1319. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1319, 2638, 3957, 7914, 9233, 18466, 27699, 55398.
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How to work it out
- 1
55398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55398 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 55398 itself that is 71322, so 55398 is abundant (71322 is more than 55398). Euler's totient φ(55398) = 15816 numbers up to 55398 share no factor with it.
- 4
The digits of 55398 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55398 = 2 \times 3 \times 7 \times 1319 \]
55398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 15816 |
| Square | 3068938404 |
| Cube | 170013049704792 |
| Square root | 235.367797 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5398 × |
55398 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and ninety-eight |
| Binary (base 2) | 1101100001100110 |
| Octal (base 8) | 154146 |
| Hexadecimal (base 16) | D866 |
| Base 3 | 2210222210 |
| As time | 55398 seconds = 15 h 23 min 18 s |
Is 55398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55398 ÷ 2 = 27699) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55398 ÷ 3 = 18466) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55398 ÷ 6 = 9233) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55398 ÷ 7 = 7914) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55398 a prime number?
No. 55398 = 2 × 3 × 7 × 1319, so it is divisible by 2.
What are the factors of 55398?
1, 2, 3, 6, 7, 14, 21, 42, 1319, 2638, 3957, 7914, 9233, 18466, 27699, 55398.
What is 55398 in binary?
1101100001100110 (hexadecimal D866, octal 154146).
What is the square root of 55398?
About 235.3678.
Is 55398 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55398?
It is a composite number with 16 divisors.