The number 77404
77404 is a composite number with 12 divisors. Its prime factorisation is × 37 × 523. Divisors (12): 1, 2, 4, 37, 74, 148, 523, 1046, 2092, 19351, 38702, 77404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77404 is composite. Its prime factorisation is
- 3
The divisors add up to 139384; without 77404 itself that is 61980, so 77404 is deficient (61980 is less than 77404). Euler's totient φ(77404) = 37584 numbers up to 77404 share no factor with it.
- 4
The digits of 77404 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77404 = 2^{2} \times 37 \times 523 \]77404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139384 |
| Euler totient φ(n) | 37584 |
| Square | 5991379216 |
| Cube | 463756716835264 |
| Square root | 278.215744 (= 2√19351) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7404 × |
77404 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and four |
| Binary (base 2) | 10010111001011100 |
| Octal (base 8) | 227134 |
| Hexadecimal (base 16) | 12E5C |
| Base 3 | 10221011211 |
| As time | 77404 seconds = 21 h 30 min 4 s |
Is 77404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77404 ÷ 2 = 38702) | 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 (77404 ÷ 4 = 19351) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | 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 77404 a prime number?
No. 77404 = × 37 × 523, so it is divisible by 2.
What are the factors of 77404?
1, 2, 4, 37, 74, 148, 523, 1046, 2092, 19351, 38702, 77404.
What is 77404 in binary?
10010111001011100 (hexadecimal 12E5C, octal 227134).
What is the square root of 77404?
About 278.2157, exactly 2√19351.
Is 77404 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77404?
77404 is a happy number: repeatedly adding the squares of its digits reaches 1.