The number 72436
72436 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 199. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 199, 364, 398, 796, 1393 … 72436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72436 is composite. Its prime factorisation is
- 3
The divisors add up to 156800; without 72436 itself that is 84364, so 72436 is abundant (84364 is more than 72436). Euler's totient φ(72436) = 28512 numbers up to 72436 share no factor with it.
- 4
The digits of 72436 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72436 = 2^{2} \times 7 \times 13 \times 199 \]72436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 156800 |
| Euler totient φ(n) | 28512 |
| Square | 5246974096 |
| Cube | 380069815617856 |
| Square root | 269.139369 (= 2√18109) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2436 × |
72436 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and thirty-six |
| Binary (base 2) | 10001101011110100 |
| Octal (base 8) | 215364 |
| Hexadecimal (base 16) | 11AF4 |
| Base 3 | 10200100211 |
| As time | 72436 seconds = 20 h 7 min 16 s |
Is 72436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72436 ÷ 2 = 36218) | 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 (72436 ÷ 4 = 18109) | 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 | Yes (72436 ÷ 7 = 10348) | 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 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 72436 a prime number?
No. 72436 = × 7 × 13 × 199, so it is divisible by 2.
What are the factors of 72436?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 199, 364, 398, 796, 1393, 2587, 2786, 5174, 5572, 10348, 18109, 36218, 72436.
What is 72436 in binary?
10001101011110100 (hexadecimal 11AF4, octal 215364).
What is the square root of 72436?
About 269.1394, exactly 2√18109.
Is 72436 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72436?
It is a composite number with 24 divisors.