The number 55359
55359 is a composite number with 6 divisors. Its prime factorisation is × 6151. Divisors (6): 1, 3, 9, 6151, 18453, 55359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55359 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55359 is composite. Its prime factorisation is
- 3
The divisors add up to 79976; without 55359 itself that is 24617, so 55359 is deficient (24617 is less than 55359). Euler's totient φ(55359) = 36900 numbers up to 55359 share no factor with it.
- 4
The digits of 55359 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55359 = 3^{2} \times 6151 \]55359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 79976 |
| Euler totient φ(n) | 36900 |
| Square | 3064618881 |
| Cube | 169654236633279 |
| Square root | 235.284934 (= 3√6151) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5359 × |
55359 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fifty-nine |
| Binary (base 2) | 1101100000111111 |
| Octal (base 8) | 154077 |
| Hexadecimal (base 16) | D83F |
| Base 3 | 2210221100 |
| As time | 55359 seconds = 15 h 22 min 39 s |
Is 55359 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 (55359 ÷ 3 = 18453) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55359 ÷ 9 = 6151) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55359 a prime number?
No. 55359 = × 6151, so it is divisible by 3.
What are the factors of 55359?
1, 3, 9, 6151, 18453, 55359.
What is 55359 in binary?
1101100000111111 (hexadecimal D83F, octal 154077).
What is the square root of 55359?
About 235.2849, exactly 3√6151.
Is 55359 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55359?
It is a composite number with 6 divisors.