The number 13407
13407 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 109. Divisors (8): 1, 3, 41, 109, 123, 327, 4469, 13407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13407 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13407 is composite. Its prime factorisation is
- 3
The divisors add up to 18480; without 13407 itself that is 5073, so 13407 is deficient (5073 is less than 13407). Euler's totient φ(13407) = 8640 numbers up to 13407 share no factor with it.
- 4
The digits of 13407 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13407 = 3 \times 41 \times 109 \]
13407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18480 |
| Euler totient φ(n) | 8640 |
| Square | 179747649 |
| Cube | 2409876730143 |
| Square root | 115.788600 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3407 × |
13407 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seven |
| Binary (base 2) | 11010001011111 |
| Octal (base 8) | 32137 |
| Hexadecimal (base 16) | 345F |
| Base 3 | 200101120 |
| As time | 13407 seconds = 3 h 43 min 27 s |
Is 13407 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 | Yes (13407 ÷ 3 = 4469) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13407 a prime number?
No. 13407 = 3 × 41 × 109, so it is divisible by 3.
What are the factors of 13407?
1, 3, 41, 109, 123, 327, 4469, 13407.
What is 13407 in binary?
11010001011111 (hexadecimal 345F, octal 32137).
What is the square root of 13407?
About 115.7886.
Is 13407 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13407?
It is a composite number with 8 divisors.