The number 55320
55320 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 461. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 55320.
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How to work it out
- 1
What is special about 55320: a Harshad number: divisible by its digit sum 15.
- 2
55320 is composite. Its prime factorisation is
- 3
The divisors add up to 166320; without 55320 itself that is 111000, so 55320 is abundant (111000 is more than 55320). Euler's totient φ(55320) = 14720 numbers up to 55320 share no factor with it.
- 4
The digits of 55320 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55320 = 2^{3} \times 3 \times 5 \times 461 \]55320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 166320 |
| Euler totient φ(n) | 14720 |
| Square | 3060302400 |
| Cube | 169295928768000 |
| Square root | 235.202041 (= 2√13830) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.532 × |
55320 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and twenty |
| Binary (base 2) | 1101100000011000 |
| Octal (base 8) | 154030 |
| Hexadecimal (base 16) | D818 |
| Base 3 | 2210212220 |
| As time | 55320 seconds = 15 h 22 min 0 s |
Is 55320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55320 ÷ 2 = 27660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55320 ÷ 3 = 18440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55320 ÷ 4 = 13830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55320 ÷ 5 = 11064) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55320 ÷ 6 = 9220) | 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 | Yes (55320 ÷ 8 = 6915) | 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 | Yes (55320 ÷ 10 = 5532) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55320 ÷ 12 = 4610) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55320 a prime number?
No. 55320 = × 3 × 5 × 461, so it is divisible by 2.
What are the factors of 55320?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 461, 922, 1383, 1844, 2305, 2766, 3688, 4610, 5532, 6915, 9220, 11064, 13830, 18440, 27660, 55320.
What is 55320 in binary?
1101100000011000 (hexadecimal D818, octal 154030).
What is the square root of 55320?
About 235.2020, exactly 2√13830.
Is 55320 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55320?
55320 is a Harshad number: divisible by its digit sum 15.