The number 48270
48270 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1609. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1609, 3218, 4827, 8045, 9654, 16090, 24135, 48270.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48270: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48270 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 48270 itself that is 67650, so 48270 is abundant (67650 is more than 48270). Euler's totient φ(48270) = 12864 numbers up to 48270 share no factor with it.
- 4
The digits of 48270 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48270 = 2 \times 3 \times 5 \times 1609 \]
48270 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 12864 |
| Square | 2329992900 |
| Cube | 112468757283000 |
| Square root | 219.704347 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.827 × |
48270 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and seventy |
| Binary (base 2) | 1011110010001110 |
| Octal (base 8) | 136216 |
| Hexadecimal (base 16) | BC8E |
| Base 3 | 2110012210 |
| As time | 48270 seconds = 13 h 24 min 30 s |
Is 48270 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48270 ÷ 2 = 24135) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48270 ÷ 3 = 16090) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48270 ÷ 5 = 9654) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48270 ÷ 6 = 8045) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48270 ÷ 10 = 4827) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48270 a prime number?
No. 48270 = 2 × 3 × 5 × 1609, so it is divisible by 2.
What are the factors of 48270?
1, 2, 3, 5, 6, 10, 15, 30, 1609, 3218, 4827, 8045, 9654, 16090, 24135, 48270.
What is 48270 in binary?
1011110010001110 (hexadecimal BC8E, octal 136216).
What is the square root of 48270?
About 219.7043.
Is 48270 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48270?
48270 is a happy number: repeatedly adding the squares of its digits reaches 1.