The number 47880
47880 is a composite number with 96 divisors. Its prime factorisation is × × 5 × 7 × 19. Divisors (96): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 19, 20 … 47880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47880: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47880 is composite. Its prime factorisation is
- 3
The divisors add up to 187200; without 47880 itself that is 139320, so 47880 is abundant (139320 is more than 47880). Euler's totient φ(47880) = 10368 numbers up to 47880 share no factor with it.
- 4
The digits of 47880 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47880 = 2^{3} \times 3^{2} \times 5 \times 7 \times 19 \]47880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 187200 |
| Euler totient φ(n) | 10368 |
| Square | 2292494400 |
| Cube | 109764631872000 |
| Square root | 218.814990 (= 6√1330) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.788 × |
47880 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and eighty |
| Binary (base 2) | 1011101100001000 |
| Octal (base 8) | 135410 |
| Hexadecimal (base 16) | BB08 |
| Base 3 | 2102200100 |
| As time | 47880 seconds = 13 h 18 min 0 s |
Is 47880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47880 ÷ 2 = 23940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47880 ÷ 3 = 15960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47880 ÷ 4 = 11970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47880 ÷ 5 = 9576) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47880 ÷ 6 = 7980) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47880 ÷ 7 = 6840) | 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 (47880 ÷ 8 = 5985) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47880 ÷ 9 = 5320) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47880 ÷ 10 = 4788) | 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 (47880 ÷ 12 = 3990) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47880 a prime number?
No. 47880 = × × 5 × 7 × 19, so it is divisible by 2.
What are the factors of 47880?
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 19, 20, 21, 24, 28, 30, 35, 36, 38, 40, 42, 45, 56, 57, 60, 63, 70, 72, 76, 84, 90, 95, 105, 114, 120, 126, 133, 140, 152, 168, 171, 180, 190, 210, 228, 252, 266, 280, 285, 315, 342, 360, 380, 399, 420, 456, 504, 532, 570, 630, 665, 684, 760, 798, 840, 855, 1064, 1140, 1197, 1260, 1330, 1368, 1596, 1710, 1995, 2280, 2394, 2520, 2660, 3192, 3420, 3990, 4788, 5320, 5985, 6840, 7980, 9576, 11970, 15960, 23940, 47880.
What is 47880 in binary?
1011101100001000 (hexadecimal BB08, octal 135410).
What is the square root of 47880?
About 218.8150, exactly 6√1330.
Is 47880 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47880?
47880 is a happy number: repeatedly adding the squares of its digits reaches 1.