The number 48140
48140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 29 × 83. Divisors (24): 1, 2, 4, 5, 10, 20, 29, 58, 83, 116, 145, 166, 290, 332, 415, 580 … 48140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48140 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 48140 itself that is 57700, so 48140 is abundant (57700 is more than 48140). Euler's totient φ(48140) = 18368 numbers up to 48140 share no factor with it.
- 4
The digits of 48140 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48140 = 2^{2} \times 5 \times 29 \times 83 \]48140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 18368 |
| Square | 2317459600 |
| Cube | 111562505144000 |
| Square root | 219.408295 (= 2√12035) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.814 × |
48140 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and forty |
| Binary (base 2) | 1011110000001100 |
| Octal (base 8) | 136014 |
| Hexadecimal (base 16) | BC0C |
| Base 3 | 2110000222 |
| As time | 48140 seconds = 13 h 22 min 20 s |
Is 48140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48140 ÷ 2 = 24070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48140 ÷ 4 = 12035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48140 ÷ 5 = 9628) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48140 ÷ 10 = 4814) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48140 a prime number?
No. 48140 = × 5 × 29 × 83, so it is divisible by 2.
What are the factors of 48140?
1, 2, 4, 5, 10, 20, 29, 58, 83, 116, 145, 166, 290, 332, 415, 580, 830, 1660, 2407, 4814, 9628, 12035, 24070, 48140.
What is 48140 in binary?
1011110000001100 (hexadecimal BC0C, octal 136014).
What is the square root of 48140?
About 219.4083, exactly 2√12035.
Is 48140 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48140?
48140 is a happy number: repeatedly adding the squares of its digits reaches 1.