The number 13432
13432 is a composite number with 16 divisors. Its prime factorisation is × 23 × 73. Divisors (16): 1, 2, 4, 8, 23, 46, 73, 92, 146, 184, 292, 584, 1679, 3358, 6716, 13432.
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How to work it out
- 1
13432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13432 is composite. Its prime factorisation is
- 3
The divisors add up to 26640; without 13432 itself that is 13208, so 13432 is deficient (13208 is less than 13432). Euler's totient φ(13432) = 6336 numbers up to 13432 share no factor with it.
- 4
The digits of 13432 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13432 = 2^{3} \times 23 \times 73 \]13432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26640 |
| Euler totient φ(n) | 6336 |
| Square | 180418624 |
| Cube | 2423382957568 |
| Square root | 115.896506 (= 2√3358) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3432 × |
13432 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty-two |
| Binary (base 2) | 11010001111000 |
| Octal (base 8) | 32170 |
| Hexadecimal (base 16) | 3478 |
| Base 3 | 200102111 |
| As time | 13432 seconds = 3 h 43 min 52 s |
Is 13432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13432 ÷ 2 = 6716) | 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 (13432 ÷ 4 = 3358) | 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 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 | Yes (13432 ÷ 8 = 1679) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | 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 13432 a prime number?
No. 13432 = × 23 × 73, so it is divisible by 2.
What are the factors of 13432?
1, 2, 4, 8, 23, 46, 73, 92, 146, 184, 292, 584, 1679, 3358, 6716, 13432.
What is 13432 in binary?
11010001111000 (hexadecimal 3478, octal 32170).
What is the square root of 13432?
About 115.8965, exactly 2√3358.
Is 13432 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13432?
It is a composite number with 16 divisors.