The number 18410
18410 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 263. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 263, 526, 1315, 1841, 2630, 3682, 9205, 18410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18410: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
18410 is composite. Its prime factorisation is
- 3
The divisors add up to 38016; without 18410 itself that is 19606, so 18410 is abundant (19606 is more than 18410). Euler's totient φ(18410) = 6288 numbers up to 18410 share no factor with it.
- 4
The digits of 18410 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18410 = 2 \times 5 \times 7 \times 263 \]
18410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38016 |
| Euler totient φ(n) | 6288 |
| Square | 338928100 |
| Cube | 6239666321000 |
| Square root | 135.683455 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.841 × |
18410 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and ten |
| Binary (base 2) | 100011111101010 |
| Octal (base 8) | 43752 |
| Hexadecimal (base 16) | 47EA |
| Base 3 | 221020212 |
| As time | 18410 seconds = 5 h 6 min 50 s |
Is 18410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18410 ÷ 2 = 9205) | 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 (18410 ÷ 5 = 3682) | 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 | Yes (18410 ÷ 7 = 2630) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18410 ÷ 10 = 1841) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 18410 a prime number?
No. 18410 = 2 × 5 × 7 × 263, so it is divisible by 2.
What are the factors of 18410?
1, 2, 5, 7, 10, 14, 35, 70, 263, 526, 1315, 1841, 2630, 3682, 9205, 18410.
What is 18410 in binary?
100011111101010 (hexadecimal 47EA, octal 43752).
What is the square root of 18410?
About 135.6835.
Is 18410 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 18410?
18410 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.