The number 48780
48780 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 271. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 48780.
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How to work it out
- 1
What is special about 48780: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48780 is composite. Its prime factorisation is
- 3
The divisors add up to 148512; without 48780 itself that is 99732, so 48780 is abundant (99732 is more than 48780). Euler's totient φ(48780) = 12960 numbers up to 48780 share no factor with it.
- 4
The digits of 48780 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48780 = 2^{2} \times 3^{2} \times 5 \times 271 \]48780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 148512 |
| Euler totient φ(n) | 12960 |
| Square | 2379488400 |
| Cube | 116071444152000 |
| Square root | 220.861948 (= 6√1355) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.878 × |
48780 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and eighty |
| Binary (base 2) | 1011111010001100 |
| Octal (base 8) | 137214 |
| Hexadecimal (base 16) | BE8C |
| Base 3 | 2110220200 |
| As time | 48780 seconds = 13 h 33 min 0 s |
Is 48780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48780 ÷ 2 = 24390) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48780 ÷ 3 = 16260) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48780 ÷ 4 = 12195) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48780 ÷ 5 = 9756) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48780 ÷ 6 = 8130) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (48780 ÷ 9 = 5420) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48780 ÷ 10 = 4878) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48780 ÷ 12 = 4065) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48780 a prime number?
No. 48780 = × × 5 × 271, so it is divisible by 2.
What are the factors of 48780?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 271, 542, 813, 1084, 1355, 1626, 2439, 2710, 3252, 4065, 4878, 5420, 8130, 9756, 12195, 16260, 24390, 48780.
What is 48780 in binary?
1011111010001100 (hexadecimal BE8C, octal 137214).
What is the square root of 48780?
About 220.8619, exactly 6√1355.
Is 48780 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48780?
48780 is a happy number: repeatedly adding the squares of its digits reaches 1.