The number 72429
72429 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3449. Divisors (8): 1, 3, 7, 21, 3449, 10347, 24143, 72429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72429 is composite. Its prime factorisation is
- 3
The divisors add up to 110400; without 72429 itself that is 37971, so 72429 is deficient (37971 is less than 72429). Euler's totient φ(72429) = 41376 numbers up to 72429 share no factor with it.
- 4
The digits of 72429 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72429 = 3 \times 7 \times 3449 \]
72429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 110400 |
| Euler totient φ(n) | 41376 |
| Square | 5245960041 |
| Cube | 379959639809589 |
| Square root | 269.126364 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2429 × |
72429 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and twenty-nine |
| Binary (base 2) | 10001101011101101 |
| Octal (base 8) | 215355 |
| Hexadecimal (base 16) | 11AED |
| Base 3 | 10200100120 |
| As time | 72429 seconds = 20 h 7 min 9 s |
Is 72429 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 (72429 ÷ 3 = 24143) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (72429 ÷ 7 = 10347) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72429 a prime number?
No. 72429 = 3 × 7 × 3449, so it is divisible by 3.
What are the factors of 72429?
1, 3, 7, 21, 3449, 10347, 24143, 72429.
What is 72429 in binary?
10001101011101101 (hexadecimal 11AED, octal 215355).
What is the square root of 72429?
About 269.1264.
Is 72429 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72429?
It is a composite number with 8 divisors.