The number 63180
63180 is a composite number with 72 divisors. Its prime factorisation is × × 5 × 13. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30 … 63180.
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How to work it out
- 1
What is special about 63180: a Harshad number: divisible by its digit sum 18.
- 2
63180 is composite. Its prime factorisation is
- 3
The divisors add up to 214032; without 63180 itself that is 150852, so 63180 is abundant (150852 is more than 63180). Euler's totient φ(63180) = 15552 numbers up to 63180 share no factor with it.
- 4
The digits of 63180 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63180 = 2^{2} \times 3^{5} \times 5 \times 13 \]63180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 214032 |
| Euler totient φ(n) | 15552 |
| Square | 3991712400 |
| Cube | 252196389432000 |
| Square root | 251.356321 (= 18√195) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.318 × |
63180 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand one hundred and eighty |
| Binary (base 2) | 1111011011001100 |
| Octal (base 8) | 173314 |
| Hexadecimal (base 16) | F6CC |
| Base 3 | 10012200000 |
| As time | 63180 seconds = 17 h 33 min 0 s |
Is 63180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63180 ÷ 2 = 31590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (63180 ÷ 3 = 21060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (63180 ÷ 4 = 15795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (63180 ÷ 5 = 12636) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (63180 ÷ 6 = 10530) | 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 (63180 ÷ 9 = 7020) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (63180 ÷ 10 = 6318) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (63180 ÷ 12 = 5265) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 63180 a prime number?
No. 63180 = × × 5 × 13, so it is divisible by 2.
What are the factors of 63180?
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 81, 90, 108, 117, 130, 135, 156, 162, 180, 195, 234, 243, 260, 270, 324, 351, 390, 405, 468, 486, 540, 585, 702, 780, 810, 972, 1053, 1170, 1215, 1404, 1620, 1755, 2106, 2340, 2430, 3159, 3510, 4212, 4860, 5265, 6318, 7020, 10530, 12636, 15795, 21060, 31590, 63180.
What is 63180 in binary?
1111011011001100 (hexadecimal F6CC, octal 173314).
What is the square root of 63180?
About 251.3563, exactly 18√195.
Is 63180 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 63180?
63180 is a Harshad number: divisible by its digit sum 18.