The number 436
436 is a composite number with 6 divisors. Its prime factorisation is × 109. Divisors (6): 1, 2, 4, 109, 218, 436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
436 is composite. Its prime factorisation is
- 3
The divisors add up to 770; without 436 itself that is 334, so 436 is deficient (334 is less than 436). Euler's totient φ(436) = 216 numbers up to 436 share no factor with it.
- 4
The digits of 436 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 436 = 2^{2} \times 109 \]436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 770 |
| Euler totient φ(n) | 216 |
| Square | 190096 |
| Cube | 82881856 |
| Square root | 20.880613 (= 2√109) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 4.36 × |
436 in other forms
| Form | Value |
|---|---|
| In words | four hundred and thirty-six |
| Roman numerals | CDXXXVI |
| Binary (base 2) | 110110100 |
| Octal (base 8) | 664 |
| Hexadecimal (base 16) | 1B4 |
| Base 3 | 121011 |
| As time | 436 seconds = 7 min 16 s |
Is 436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (436 ÷ 2 = 218) | 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 (436 ÷ 4 = 109) | 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 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 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 436 a prime number?
No. 436 = × 109, so it is divisible by 2.
What are the factors of 436?
1, 2, 4, 109, 218, 436.
What is 436 in binary?
110110100 (hexadecimal 1B4, octal 664).
What is the square root of 436?
About 20.8806, exactly 2√109.
What is 436 in Roman numerals?
CDXXXVI.
Is 436 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 436?
It is a composite number with 6 divisors.