The number 72435
72435 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 439. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 439, 1317, 2195, 4829, 6585, 14487, 24145, 72435.
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How to work it out
- 1
What is special about 72435: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72435 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 72435 itself that is 54285, so 72435 is deficient (54285 is less than 72435). Euler's totient φ(72435) = 35040 numbers up to 72435 share no factor with it.
- 4
The digits of 72435 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72435 = 3 \times 5 \times 11 \times 439 \]
72435 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 35040 |
| Square | 5246829225 |
| Cube | 380054074912875 |
| Square root | 269.137511 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2435 × |
72435 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and thirty-five |
| Binary (base 2) | 10001101011110011 |
| Octal (base 8) | 215363 |
| Hexadecimal (base 16) | 11AF3 |
| Base 3 | 10200100210 |
| As time | 72435 seconds = 20 h 7 min 15 s |
Is 72435 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72435 ÷ 3 = 24145) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72435 ÷ 5 = 14487) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72435 ÷ 11 = 6585) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72435 a prime number?
No. 72435 = 3 × 5 × 11 × 439, so it is divisible by 3.
What are the factors of 72435?
1, 3, 5, 11, 15, 33, 55, 165, 439, 1317, 2195, 4829, 6585, 14487, 24145, 72435.
What is 72435 in binary?
10001101011110011 (hexadecimal 11AF3, octal 215363).
What is the square root of 72435?
About 269.1375.
Is 72435 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72435?
72435 is a happy number: repeatedly adding the squares of its digits reaches 1.