The number 74226
74226 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 89 × 139. Divisors (16): 1, 2, 3, 6, 89, 139, 178, 267, 278, 417, 534, 834, 12371, 24742, 37113, 74226.
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How to work it out
- 1
What is special about 74226: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74226 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 74226 itself that is 76974, so 74226 is abundant (76974 is more than 74226). Euler's totient φ(74226) = 24288 numbers up to 74226 share no factor with it.
- 4
The digits of 74226 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74226 = 2 \times 3 \times 89 \times 139 \]
74226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 24288 |
| Square | 5509499076 |
| Cube | 408948078415176 |
| Square root | 272.444490 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4226 × |
74226 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and twenty-six |
| Binary (base 2) | 10010000111110010 |
| Octal (base 8) | 220762 |
| Hexadecimal (base 16) | 121F2 |
| Base 3 | 10202211010 |
| As time | 74226 seconds = 20 h 37 min 6 s |
Is 74226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74226 ÷ 2 = 37113) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74226 ÷ 3 = 24742) | 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 (74226 ÷ 6 = 12371) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 9) | 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 74226 a prime number?
No. 74226 = 2 × 3 × 89 × 139, so it is divisible by 2.
What are the factors of 74226?
1, 2, 3, 6, 89, 139, 178, 267, 278, 417, 534, 834, 12371, 24742, 37113, 74226.
What is 74226 in binary?
10010000111110010 (hexadecimal 121F2, octal 220762).
What is the square root of 74226?
About 272.4445.
Is 74226 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74226?
74226 is a happy number: repeatedly adding the squares of its digits reaches 1.