The number 3432
3432 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 13. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52 … 3432.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3432: a Harshad number: divisible by its digit sum 12.
- 2
3432 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 3432 itself that is 6648, so 3432 is abundant (6648 is more than 3432). Euler's totient φ(3432) = 960 numbers up to 3432 share no factor with it.
- 4
The digits of 3432 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3432 = 2^{3} \times 3 \times 11 \times 13 \]3432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 960 |
| Square | 11778624 |
| Cube | 40424237568 |
| Square root | 58.583274 (= 2√858) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.432 × |
3432 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and thirty-two |
| Roman numerals | MMMCDXXXII |
| Binary (base 2) | 110101101000 |
| Octal (base 8) | 6550 |
| Hexadecimal (base 16) | D68 |
| Base 3 | 11201010 |
| As time | 3432 seconds = 57 min 12 s |
Is 3432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3432 ÷ 2 = 1716) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3432 ÷ 3 = 1144) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3432 ÷ 4 = 858) | 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 | Yes (3432 ÷ 6 = 572) | 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 | Yes (3432 ÷ 8 = 429) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (3432 ÷ 11 = 312) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3432 ÷ 12 = 286) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3432 a prime number?
No. 3432 = × 3 × 11 × 13, so it is divisible by 2.
What are the factors of 3432?
1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432.
What is 3432 in binary?
110101101000 (hexadecimal D68, octal 6550).
What is the square root of 3432?
About 58.5833, exactly 2√858.
What is 3432 in Roman numerals?
MMMCDXXXII.
Is 3432 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3432?
3432 is a Harshad number: divisible by its digit sum 12.