The number 76424
76424 is a composite number with 16 divisors. Its prime factorisation is × 41 × 233. Divisors (16): 1, 2, 4, 8, 41, 82, 164, 233, 328, 466, 932, 1864, 9553, 19106, 38212, 76424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76424 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 76424 itself that is 70996, so 76424 is deficient (70996 is less than 76424). Euler's totient φ(76424) = 37120 numbers up to 76424 share no factor with it.
- 4
The digits of 76424 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76424 = 2^{3} \times 41 \times 233 \]76424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 37120 |
| Square | 5840627776 |
| Cube | 446364137153024 |
| Square root | 276.448910 (= 2√19106) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6424 × |
76424 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and twenty-four |
| Binary (base 2) | 10010101010001000 |
| Octal (base 8) | 225210 |
| Hexadecimal (base 16) | 12A88 |
| Base 3 | 10212211112 |
| As time | 76424 seconds = 21 h 13 min 44 s |
Is 76424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76424 ÷ 2 = 38212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76424 ÷ 4 = 19106) | 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 2) | 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 | Yes (76424 ÷ 8 = 9553) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76424 a prime number?
No. 76424 = × 41 × 233, so it is divisible by 2.
What are the factors of 76424?
1, 2, 4, 8, 41, 82, 164, 233, 328, 466, 932, 1864, 9553, 19106, 38212, 76424.
What is 76424 in binary?
10010101010001000 (hexadecimal 12A88, octal 225210).
What is the square root of 76424?
About 276.4489, exactly 2√19106.
Is 76424 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 76424?
It is a composite number with 16 divisors.