The number 16412
16412 is a composite number with 12 divisors. Its prime factorisation is × 11 × 373. Divisors (12): 1, 2, 4, 11, 22, 44, 373, 746, 1492, 4103, 8206, 16412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16412 is composite. Its prime factorisation is
- 3
The divisors add up to 31416; without 16412 itself that is 15004, so 16412 is deficient (15004 is less than 16412). Euler's totient φ(16412) = 7440 numbers up to 16412 share no factor with it.
- 4
The digits of 16412 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16412 = 2^{2} \times 11 \times 373 \]16412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31416 |
| Euler totient φ(n) | 7440 |
| Square | 269353744 |
| Cube | 4420633646528 |
| Square root | 128.109328 (= 2√4103) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6412 × |
16412 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twelve |
| Binary (base 2) | 100000000011100 |
| Octal (base 8) | 40034 |
| Hexadecimal (base 16) | 401C |
| Base 3 | 211111212 |
| As time | 16412 seconds = 4 h 33 min 32 s |
Is 16412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16412 ÷ 2 = 8206) | 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 | Yes (16412 ÷ 4 = 4103) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16412 ÷ 11 = 1492) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16412 a prime number?
No. 16412 = × 11 × 373, so it is divisible by 2.
What are the factors of 16412?
1, 2, 4, 11, 22, 44, 373, 746, 1492, 4103, 8206, 16412.
What is 16412 in binary?
100000000011100 (hexadecimal 401C, octal 40034).
What is the square root of 16412?
About 128.1093, exactly 2√4103.
Is 16412 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16412?
It is a composite number with 12 divisors.