The number 55008
55008 is a composite number with 36 divisors. Its prime factorisation is × × 191. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 55008.
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How to work it out
- 1
What is special about 55008: a Harshad number: divisible by its digit sum 18.
- 2
55008 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 55008 itself that is 102240, so 55008 is abundant (102240 is more than 55008). Euler's totient φ(55008) = 18240 numbers up to 55008 share no factor with it.
- 4
The digits of 55008 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55008 = 2^{5} \times 3^{2} \times 191 \]55008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 18240 |
| Square | 3025880064 |
| Cube | 166447610560512 |
| Square root | 234.537843 (= 12√382) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5008 × |
55008 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and eight |
| Binary (base 2) | 1101011011100000 |
| Octal (base 8) | 153340 |
| Hexadecimal (base 16) | D6E0 |
| Base 3 | 2210110100 |
| As time | 55008 seconds = 15 h 16 min 48 s |
Is 55008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55008 ÷ 2 = 27504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55008 ÷ 3 = 18336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55008 ÷ 4 = 13752) | 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 (55008 ÷ 6 = 9168) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (55008 ÷ 8 = 6876) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55008 ÷ 9 = 6112) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55008 ÷ 12 = 4584) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55008 a prime number?
No. 55008 = × × 191, so it is divisible by 2.
What are the factors of 55008?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 191, 288, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6112, 6876, 9168, 13752, 18336, 27504, 55008.
What is 55008 in binary?
1101011011100000 (hexadecimal D6E0, octal 153340).
What is the square root of 55008?
About 234.5378, exactly 12√382.
Is 55008 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55008?
55008 is a Harshad number: divisible by its digit sum 18.