The number 72426
72426 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12071. Divisors (8): 1, 2, 3, 6, 12071, 24142, 36213, 72426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72426: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72426 is composite. Its prime factorisation is
- 3
The divisors add up to 144864; without 72426 itself that is 72438, so 72426 is abundant (72438 is more than 72426). Euler's totient φ(72426) = 24140 numbers up to 72426 share no factor with it.
- 4
The digits of 72426 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
\[ 72426 = 2 \times 3 \times 12071 \]
72426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144864 |
| Euler totient φ(n) | 24140 |
| Square | 5245525476 |
| Cube | 379912428124776 |
| Square root | 269.120791 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2426 × |
72426 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and twenty-six |
| Binary (base 2) | 10001101011101010 |
| Octal (base 8) | 215352 |
| Hexadecimal (base 16) | 11AEA |
| Base 3 | 10200100110 |
| As time | 72426 seconds = 20 h 7 min 6 s |
Is 72426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72426 ÷ 2 = 36213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72426 ÷ 3 = 24142) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (72426 ÷ 6 = 12071) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72426 a prime number?
No. 72426 = 2 × 3 × 12071, so it is divisible by 2.
What are the factors of 72426?
1, 2, 3, 6, 12071, 24142, 36213, 72426.
What is 72426 in binary?
10001101011101010 (hexadecimal 11AEA, octal 215352).
What is the square root of 72426?
About 269.1208.
Is 72426 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72426?
72426 is a happy number: repeatedly adding the squares of its digits reaches 1.