The number 55620
55620 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 103. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 55620.
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How to work it out
- 1
What is special about 55620: a Harshad number: divisible by its digit sum 18.
- 2
55620 is composite. Its prime factorisation is
- 3
The divisors add up to 174720; without 55620 itself that is 119100, so 55620 is abundant (119100 is more than 55620). Euler's totient φ(55620) = 14688 numbers up to 55620 share no factor with it.
- 4
The digits of 55620 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55620 = 2^{2} \times 3^{3} \times 5 \times 103 \]55620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 174720 |
| Euler totient φ(n) | 14688 |
| Square | 3093584400 |
| Cube | 172065164328000 |
| Square root | 235.838928 (= 6√1545) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.562 × |
55620 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and twenty |
| Binary (base 2) | 1101100101000100 |
| Octal (base 8) | 154504 |
| Hexadecimal (base 16) | D944 |
| Base 3 | 2211022000 |
| As time | 55620 seconds = 15 h 27 min 0 s |
Is 55620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55620 ÷ 2 = 27810) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55620 ÷ 3 = 18540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55620 ÷ 4 = 13905) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55620 ÷ 5 = 11124) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55620 ÷ 6 = 9270) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55620 ÷ 9 = 6180) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55620 ÷ 10 = 5562) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55620 ÷ 12 = 4635) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55620 a prime number?
No. 55620 = × × 5 × 103, so it is divisible by 2.
What are the factors of 55620?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 103, 108, 135, 180, 206, 270, 309, 412, 515, 540, 618, 927, 1030, 1236, 1545, 1854, 2060, 2781, 3090, 3708, 4635, 5562, 6180, 9270, 11124, 13905, 18540, 27810, 55620.
What is 55620 in binary?
1101100101000100 (hexadecimal D944, octal 154504).
What is the square root of 55620?
About 235.8389, exactly 6√1545.
Is 55620 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55620?
55620 is a Harshad number: divisible by its digit sum 18.