The number 13410
13410 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 149. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 149, 298, 447, 745 … 13410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13410: a Harshad number: divisible by its digit sum 9.
- 2
13410 is composite. Its prime factorisation is
- 3
The divisors add up to 35100; without 13410 itself that is 21690, so 13410 is abundant (21690 is more than 13410). Euler's totient φ(13410) = 3552 numbers up to 13410 share no factor with it.
- 4
The digits of 13410 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13410 = 2 \times 3^{2} \times 5 \times 149 \]13410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 35100 |
| Euler totient φ(n) | 3552 |
| Square | 179828100 |
| Cube | 2411494821000 |
| Square root | 115.801554 (= 3√1490) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.341 × |
13410 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and ten |
| Binary (base 2) | 11010001100010 |
| Octal (base 8) | 32142 |
| Hexadecimal (base 16) | 3462 |
| Base 3 | 200101200 |
| As time | 13410 seconds = 3 h 43 min 30 s |
Is 13410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13410 ÷ 2 = 6705) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13410 ÷ 3 = 4470) | 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 (13410 ÷ 5 = 2682) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13410 ÷ 6 = 2235) | 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 | Yes (13410 ÷ 9 = 1490) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13410 ÷ 10 = 1341) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13410 a prime number?
No. 13410 = 2 × × 5 × 149, so it is divisible by 2.
What are the factors of 13410?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 149, 298, 447, 745, 894, 1341, 1490, 2235, 2682, 4470, 6705, 13410.
What is 13410 in binary?
11010001100010 (hexadecimal 3462, octal 32142).
What is the square root of 13410?
About 115.8016, exactly 3√1490.
Is 13410 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13410?
13410 is a Harshad number: divisible by its digit sum 9.