The number 14416
14416 is a composite number with 20 divisors. Its prime factorisation is × 17 × 53. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 53, 68, 106, 136, 212, 272, 424, 848, 901 … 14416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14416: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
14416 is composite. Its prime factorisation is
- 3
The divisors add up to 30132; without 14416 itself that is 15716, so 14416 is abundant (15716 is more than 14416). Euler's totient φ(14416) = 6656 numbers up to 14416 share no factor with it.
- 4
The digits of 14416 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14416 = 2^{4} \times 17 \times 53 \]14416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 30132 |
| Euler totient φ(n) | 6656 |
| Square | 207821056 |
| Cube | 2995948343296 |
| Square root | 120.066648 (= 4√901) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4416 × |
14416 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and sixteen |
| Binary (base 2) | 11100001010000 |
| Octal (base 8) | 34120 |
| Hexadecimal (base 16) | 3850 |
| Base 3 | 201202221 |
| As time | 14416 seconds = 4 h 0 min 16 s |
Is 14416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14416 ÷ 2 = 7208) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14416 ÷ 4 = 3604) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (14416 ÷ 8 = 1802) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14416 a prime number?
No. 14416 = × 17 × 53, so it is divisible by 2.
What are the factors of 14416?
1, 2, 4, 8, 16, 17, 34, 53, 68, 106, 136, 212, 272, 424, 848, 901, 1802, 3604, 7208, 14416.
What is 14416 in binary?
11100001010000 (hexadecimal 3850, octal 34120).
What is the square root of 14416?
About 120.0666, exactly 4√901.
Is 14416 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 14416?
14416 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.