The number 10410
10410 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 347. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10410: a Harshad number: divisible by its digit sum 6.
- 2
10410 is composite. Its prime factorisation is
- 3
The divisors add up to 25056; without 10410 itself that is 14646, so 10410 is abundant (14646 is more than 10410). Euler's totient φ(10410) = 2768 numbers up to 10410 share no factor with it.
- 4
The digits of 10410 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10410 = 2 \times 3 \times 5 \times 347 \]
10410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25056 |
| Euler totient φ(n) | 2768 |
| Square | 108368100 |
| Cube | 1128111921000 |
| Square root | 102.029408 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.041 × |
10410 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and ten |
| Binary (base 2) | 10100010101010 |
| Octal (base 8) | 24252 |
| Hexadecimal (base 16) | 28AA |
| Base 3 | 112021120 |
| As time | 10410 seconds = 2 h 53 min 30 s |
Is 10410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10410 ÷ 2 = 5205) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10410 ÷ 3 = 3470) | 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 (10410 ÷ 5 = 2082) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10410 ÷ 6 = 1735) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10410 ÷ 10 = 1041) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10410 a prime number?
No. 10410 = 2 × 3 × 5 × 347, so it is divisible by 2.
What are the factors of 10410?
1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410.
What is 10410 in binary?
10100010101010 (hexadecimal 28AA, octal 24252).
What is the square root of 10410?
About 102.0294.
Is 10410 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 10410?
10410 is a Harshad number: divisible by its digit sum 6.