The number 55608
55608 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 331. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 55608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55608: a Harshad number: divisible by its digit sum 24.
- 2
55608 is composite. Its prime factorisation is
- 3
The divisors add up to 159360; without 55608 itself that is 103752, so 55608 is abundant (103752 is more than 55608). Euler's totient φ(55608) = 15840 numbers up to 55608 share no factor with it.
- 4
The digits of 55608 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55608 = 2^{3} \times 3 \times 7 \times 331 \]55608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 159360 |
| Euler totient φ(n) | 15840 |
| Square | 3092249664 |
| Cube | 171953819315712 |
| Square root | 235.813486 (= 2√13902) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.5608 × |
55608 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and eight |
| Binary (base 2) | 1101100100111000 |
| Octal (base 8) | 154470 |
| Hexadecimal (base 16) | D938 |
| Base 3 | 2211021120 |
| As time | 55608 seconds = 15 h 26 min 48 s |
Is 55608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55608 ÷ 2 = 27804) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55608 ÷ 3 = 18536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55608 ÷ 4 = 13902) | 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 (55608 ÷ 6 = 9268) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55608 ÷ 7 = 7944) | 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 (55608 ÷ 8 = 6951) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55608 ÷ 12 = 4634) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55608 a prime number?
No. 55608 = × 3 × 7 × 331, so it is divisible by 2.
What are the factors of 55608?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 331, 662, 993, 1324, 1986, 2317, 2648, 3972, 4634, 6951, 7944, 9268, 13902, 18536, 27804, 55608.
What is 55608 in binary?
1101100100111000 (hexadecimal D938, octal 154470).
What is the square root of 55608?
About 235.8135, exactly 2√13902.
Is 55608 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55608?
55608 is a Harshad number: divisible by its digit sum 24.