The number 12410
12410 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 73. Divisors (16): 1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205, 12410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12410 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12410 is composite. Its prime factorisation is
- 3
The divisors add up to 23976; without 12410 itself that is 11566, so 12410 is deficient (11566 is less than 12410). Euler's totient φ(12410) = 4608 numbers up to 12410 share no factor with it.
- 4
The digits of 12410 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12410 = 2 \times 5 \times 17 \times 73 \]
12410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23976 |
| Euler totient φ(n) | 4608 |
| Square | 154008100 |
| Cube | 1911240521000 |
| Square root | 111.400180 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.241 × |
12410 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and ten |
| Binary (base 2) | 11000001111010 |
| Octal (base 8) | 30172 |
| Hexadecimal (base 16) | 307A |
| Base 3 | 122000122 |
| As time | 12410 seconds = 3 h 26 min 50 s |
Is 12410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12410 ÷ 2 = 6205) | 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 (12410 ÷ 5 = 2482) | 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 6) | 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 (12410 ÷ 10 = 1241) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12410 a prime number?
No. 12410 = 2 × 5 × 17 × 73, so it is divisible by 2.
What are the factors of 12410?
1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205, 12410.
What is 12410 in binary?
11000001111010 (hexadecimal 307A, octal 30172).
What is the square root of 12410?
About 111.4002.
Is 12410 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12410?
It is a composite number with 16 divisors.