The number 55335
55335 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 17 × 31. Divisors (32): 1, 3, 5, 7, 15, 17, 21, 31, 35, 51, 85, 93, 105, 119, 155, 217 … 55335.
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How to work it out
- 1
What is special about 55335: a Harshad number: divisible by its digit sum 21.
- 2
55335 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 55335 itself that is 55257, so 55335 is deficient (55257 is less than 55335). Euler's totient φ(55335) = 23040 numbers up to 55335 share no factor with it.
- 4
The digits of 55335 add up to 21, 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
\[ 55335 = 3 \times 5 \times 7 \times 17 \times 31 \]
55335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 23040 |
| Square | 3061962225 |
| Cube | 169433679720375 |
| Square root | 235.233926 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5335 × |
55335 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirty-five |
| Binary (base 2) | 1101100000100111 |
| Octal (base 8) | 154047 |
| Hexadecimal (base 16) | D827 |
| Base 3 | 2210220110 |
| As time | 55335 seconds = 15 h 22 min 15 s |
Is 55335 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 (55335 ÷ 3 = 18445) | 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 | Yes (55335 ÷ 5 = 11067) | 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 | Yes (55335 ÷ 7 = 7905) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 55335 a prime number?
No. 55335 = 3 × 5 × 7 × 17 × 31, so it is divisible by 3.
What are the factors of 55335?
1, 3, 5, 7, 15, 17, 21, 31, 35, 51, 85, 93, 105, 119, 155, 217, 255, 357, 465, 527, 595, 651, 1085, 1581, 1785, 2635, 3255, 3689, 7905, 11067, 18445, 55335.
What is 55335 in binary?
1101100000100111 (hexadecimal D827, octal 154047).
What is the square root of 55335?
About 235.2339.
Is 55335 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55335?
55335 is a Harshad number: divisible by its digit sum 21.