The number 55593
55593 is a composite number with 16 divisors. Its prime factorisation is × 29 × 71. Divisors (16): 1, 3, 9, 27, 29, 71, 87, 213, 261, 639, 783, 1917, 2059, 6177, 18531, 55593.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55593: a Harshad number: divisible by its digit sum 27.
- 2
55593 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 55593 itself that is 30807, so 55593 is deficient (30807 is less than 55593). Euler's totient φ(55593) = 35280 numbers up to 55593 share no factor with it.
- 4
The digits of 55593 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55593 = 3^{3} \times 29 \times 71 \]55593 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 35280 |
| Square | 3090581649 |
| Cube | 171814705612857 |
| Square root | 235.781679 (= 3√6177) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5593 × |
55593 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and ninety-three |
| Binary (base 2) | 1101100100101001 |
| Octal (base 8) | 154451 |
| Hexadecimal (base 16) | D929 |
| Base 3 | 2211021000 |
| As time | 55593 seconds = 15 h 26 min 33 s |
Is 55593 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55593 ÷ 3 = 18531) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55593 ÷ 9 = 6177) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55593 a prime number?
No. 55593 = × 29 × 71, so it is divisible by 3.
What are the factors of 55593?
1, 3, 9, 27, 29, 71, 87, 213, 261, 639, 783, 1917, 2059, 6177, 18531, 55593.
What is 55593 in binary?
1101100100101001 (hexadecimal D929, octal 154451).
What is the square root of 55593?
About 235.7817, exactly 3√6177.
Is 55593 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55593?
55593 is a Harshad number: divisible by its digit sum 27.