The number 16432
16432 is a composite number with 20 divisors. Its prime factorisation is × 13 × 79. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 79, 104, 158, 208, 316, 632, 1027, 1264 … 16432.
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How to work it out
- 1
What is special about 16432: a Harshad number: divisible by its digit sum 16.
- 2
16432 is composite. Its prime factorisation is
- 3
The divisors add up to 34720; without 16432 itself that is 18288, so 16432 is abundant (18288 is more than 16432). Euler's totient φ(16432) = 7488 numbers up to 16432 share no factor with it.
- 4
The digits of 16432 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16432 = 2^{4} \times 13 \times 79 \]16432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 34720 |
| Euler totient φ(n) | 7488 |
| Square | 270010624 |
| Cube | 4436814573568 |
| Square root | 128.187363 (= 4√1027) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6432 × |
16432 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and thirty-two |
| Binary (base 2) | 100000000110000 |
| Octal (base 8) | 40060 |
| Hexadecimal (base 16) | 4030 |
| Base 3 | 211112121 |
| As time | 16432 seconds = 4 h 33 min 52 s |
Is 16432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16432 ÷ 2 = 8216) | 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 (16432 ÷ 4 = 4108) | 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 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 (16432 ÷ 8 = 2054) | 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 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16432 a prime number?
No. 16432 = × 13 × 79, so it is divisible by 2.
What are the factors of 16432?
1, 2, 4, 8, 13, 16, 26, 52, 79, 104, 158, 208, 316, 632, 1027, 1264, 2054, 4108, 8216, 16432.
What is 16432 in binary?
100000000110000 (hexadecimal 4030, octal 40060).
What is the square root of 16432?
About 128.1874, exactly 4√1027.
Is 16432 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16432?
16432 is a Harshad number: divisible by its digit sum 16.