The number 10409
10409 is a composite number with 4 divisors. Its prime factorisation is 7 × 1487. Divisors (4): 1, 7, 1487, 10409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10409: a semiprime: 7 × 1487, the product of two primes.
- 2
10409 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 10409 itself that is 1495, so 10409 is deficient (1495 is less than 10409). Euler's totient φ(10409) = 8916 numbers up to 10409 share no factor with it.
- 4
The digits of 10409 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10409 = 7 \times 1487 \]
10409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 8916 |
| Square | 108347281 |
| Cube | 1127786847929 |
| Square root | 102.024507 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0409 × |
10409 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and nine |
| Binary (base 2) | 10100010101001 |
| Octal (base 8) | 24251 |
| Hexadecimal (base 16) | 28A9 |
| Base 3 | 112021112 |
| As time | 10409 seconds = 2 h 53 min 29 s |
Is 10409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10409 ÷ 7 = 1487) | 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 1) | 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 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10409 a prime number?
No. 10409 = 7 × 1487, so it is divisible by 7.
What are the factors of 10409?
1, 7, 1487, 10409.
What is 10409 in binary?
10100010101001 (hexadecimal 28A9, octal 24251).
What is the square root of 10409?
About 102.0245.
Is 10409 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10409?
10409 is a semiprime: 7 × 1487, the product of two primes.