The number 76422
76422 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 47 × 271. Divisors (16): 1, 2, 3, 6, 47, 94, 141, 271, 282, 542, 813, 1626, 12737, 25474, 38211, 76422.
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How to work it out
- 1
What is special about 76422: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76422 is composite. Its prime factorisation is
- 3
The divisors add up to 156672; without 76422 itself that is 80250, so 76422 is abundant (80250 is more than 76422). Euler's totient φ(76422) = 24840 numbers up to 76422 share no factor with it.
- 4
The digits of 76422 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76422 = 2 \times 3 \times 47 \times 271 \]
76422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156672 |
| Euler totient φ(n) | 24840 |
| Square | 5840322084 |
| Cube | 446329094303448 |
| Square root | 276.445293 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6422 × |
76422 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and twenty-two |
| Binary (base 2) | 10010101010000110 |
| Octal (base 8) | 225206 |
| Hexadecimal (base 16) | 12A86 |
| Base 3 | 10212211110 |
| As time | 76422 seconds = 21 h 13 min 42 s |
Is 76422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76422 ÷ 2 = 38211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76422 ÷ 3 = 25474) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76422 ÷ 6 = 12737) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76422 a prime number?
No. 76422 = 2 × 3 × 47 × 271, so it is divisible by 2.
What are the factors of 76422?
1, 2, 3, 6, 47, 94, 141, 271, 282, 542, 813, 1626, 12737, 25474, 38211, 76422.
What is 76422 in binary?
10010101010000110 (hexadecimal 12A86, octal 225206).
What is the square root of 76422?
About 276.4453.
Is 76422 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76422?
76422 is a happy number: repeatedly adding the squares of its digits reaches 1.