The number 72424
72424 is a composite number with 16 divisors. Its prime factorisation is × 11 × 823. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 823, 1646, 3292, 6584, 9053, 18106, 36212, 72424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72424 is composite. Its prime factorisation is
- 3
The divisors add up to 148320; without 72424 itself that is 75896, so 72424 is abundant (75896 is more than 72424). Euler's totient φ(72424) = 32880 numbers up to 72424 share no factor with it.
- 4
The digits of 72424 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72424 = 2^{3} \times 11 \times 823 \]72424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 148320 |
| Euler totient φ(n) | 32880 |
| Square | 5245235776 |
| Cube | 379880955841024 |
| Square root | 269.117075 (= 2√18106) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2424 × |
72424 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and twenty-four |
| Binary (base 2) | 10001101011101000 |
| Octal (base 8) | 215350 |
| Hexadecimal (base 16) | 11AE8 |
| Base 3 | 10200100101 |
| As time | 72424 seconds = 20 h 7 min 4 s |
Is 72424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72424 ÷ 2 = 36212) | 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 (72424 ÷ 4 = 18106) | 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 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 | Yes (72424 ÷ 8 = 9053) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72424 ÷ 11 = 6584) | 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 72424 a prime number?
No. 72424 = × 11 × 823, so it is divisible by 2.
What are the factors of 72424?
1, 2, 4, 8, 11, 22, 44, 88, 823, 1646, 3292, 6584, 9053, 18106, 36212, 72424.
What is 72424 in binary?
10001101011101000 (hexadecimal 11AE8, octal 215350).
What is the square root of 72424?
About 269.1171, exactly 2√18106.
Is 72424 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72424?
It is a composite number with 16 divisors.