The number 410
410 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 41. Divisors (8): 1, 2, 5, 10, 41, 82, 205, 410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 410: a Harshad number: divisible by its digit sum 5.
- 2
410 is composite. Its prime factorisation is
- 3
The divisors add up to 756; without 410 itself that is 346, so 410 is deficient (346 is less than 410). Euler's totient φ(410) = 160 numbers up to 410 share no factor with it.
- 4
The digits of 410 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 410 = 2 \times 5 \times 41 \]
410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 756 |
| Euler totient φ(n) | 160 |
| Square | 168100 |
| Cube | 68921000 |
| Square root | 20.248457 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 27 |
| Scientific notation | 4.1 × |
410 in other forms
| Form | Value |
|---|---|
| In words | four hundred and ten |
| Roman numerals | CDX |
| Binary (base 2) | 110011010 |
| Octal (base 8) | 632 |
| Hexadecimal (base 16) | 19A |
| Base 3 | 120012 |
| As time | 410 seconds = 6 min 50 s |
Is 410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (410 ÷ 2 = 205) | 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 (410 ÷ 5 = 82) | 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 4) | 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 (410 ÷ 10 = 41) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 410 a prime number?
No. 410 = 2 × 5 × 41, so it is divisible by 2.
What are the factors of 410?
1, 2, 5, 10, 41, 82, 205, 410.
What is 410 in binary?
110011010 (hexadecimal 19A, octal 632).
What is the square root of 410?
About 20.2485.
What is 410 in Roman numerals?
CDX.
Is 410 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 410?
410 is a Harshad number: divisible by its digit sum 5.