The number 48410
48410 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 47 × 103. Divisors (16): 1, 2, 5, 10, 47, 94, 103, 206, 235, 470, 515, 1030, 4841, 9682, 24205, 48410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48410: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48410 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 48410 itself that is 41446, so 48410 is deficient (41446 is less than 48410). Euler's totient φ(48410) = 18768 numbers up to 48410 share no factor with it.
- 4
The digits of 48410 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48410 = 2 \times 5 \times 47 \times 103 \]
48410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 18768 |
| Square | 2343528100 |
| Cube | 113450195321000 |
| Square root | 220.022726 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.841 × |
48410 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and ten |
| Binary (base 2) | 1011110100011010 |
| Octal (base 8) | 136432 |
| Hexadecimal (base 16) | BD1A |
| Base 3 | 2110101222 |
| As time | 48410 seconds = 13 h 26 min 50 s |
Is 48410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48410 ÷ 2 = 24205) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48410 ÷ 5 = 9682) | 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 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 2) | 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 (48410 ÷ 10 = 4841) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48410 a prime number?
No. 48410 = 2 × 5 × 47 × 103, so it is divisible by 2.
What are the factors of 48410?
1, 2, 5, 10, 47, 94, 103, 206, 235, 470, 515, 1030, 4841, 9682, 24205, 48410.
What is 48410 in binary?
1011110100011010 (hexadecimal BD1A, octal 136432).
What is the square root of 48410?
About 220.0227.
Is 48410 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48410?
48410 is a happy number: repeatedly adding the squares of its digits reaches 1.