The number 77434
77434 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 5531. Divisors (8): 1, 2, 7, 14, 5531, 11062, 38717, 77434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77434: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77434 is composite. Its prime factorisation is
- 3
The divisors add up to 132768; without 77434 itself that is 55334, so 77434 is deficient (55334 is less than 77434). Euler's totient φ(77434) = 33180 numbers up to 77434 share no factor with it.
- 4
The digits of 77434 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77434 = 2 \times 7 \times 5531 \]
77434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 132768 |
| Euler totient φ(n) | 33180 |
| Square | 5996024356 |
| Cube | 464296149982504 |
| Square root | 278.269653 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7434 × |
77434 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and thirty-four |
| Binary (base 2) | 10010111001111010 |
| Octal (base 8) | 227172 |
| Hexadecimal (base 16) | 12E7A |
| Base 3 | 10221012221 |
| As time | 77434 seconds = 21 h 30 min 34 s |
Is 77434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77434 ÷ 2 = 38717) | 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 | No (remainder 2) | 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 | Yes (77434 ÷ 7 = 11062) | 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 7) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77434 a prime number?
No. 77434 = 2 × 7 × 5531, so it is divisible by 2.
What are the factors of 77434?
1, 2, 7, 14, 5531, 11062, 38717, 77434.
What is 77434 in binary?
10010111001111010 (hexadecimal 12E7A, octal 227172).
What is the square root of 77434?
About 278.2697.
Is 77434 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77434?
77434 is a happy number: repeatedly adding the squares of its digits reaches 1.