The number 16407
16407 is a composite number with 6 divisors. Its prime factorisation is × 1823. Divisors (6): 1, 3, 9, 1823, 5469, 16407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16407 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16407 is composite. Its prime factorisation is
- 3
The divisors add up to 23712; without 16407 itself that is 7305, so 16407 is deficient (7305 is less than 16407). Euler's totient φ(16407) = 10932 numbers up to 16407 share no factor with it.
- 4
The digits of 16407 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16407 = 3^{2} \times 1823 \]16407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23712 |
| Euler totient φ(n) | 10932 |
| Square | 269189649 |
| Cube | 4416594571143 |
| Square root | 128.089812 (= 3√1823) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6407 × |
16407 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and seven |
| Binary (base 2) | 100000000010111 |
| Octal (base 8) | 40027 |
| Hexadecimal (base 16) | 4017 |
| Base 3 | 211111200 |
| As time | 16407 seconds = 4 h 33 min 27 s |
Is 16407 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 (16407 ÷ 3 = 5469) | 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 6) | 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 | Yes (16407 ÷ 9 = 1823) | 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 6) | 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 16407 a prime number?
No. 16407 = × 1823, so it is divisible by 3.
What are the factors of 16407?
1, 3, 9, 1823, 5469, 16407.
What is 16407 in binary?
100000000010111 (hexadecimal 4017, octal 40027).
What is the square root of 16407?
About 128.0898, exactly 3√1823.
Is 16407 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16407?
It is a composite number with 6 divisors.