The number 76431
76431 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 349. Divisors (8): 1, 3, 73, 219, 349, 1047, 25477, 76431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76431 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76431 is composite. Its prime factorisation is
- 3
The divisors add up to 103600; without 76431 itself that is 27169, so 76431 is deficient (27169 is less than 76431). Euler's totient φ(76431) = 50112 numbers up to 76431 share no factor with it.
- 4
The digits of 76431 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 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76431 = 3 \times 73 \times 349 \]
76431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103600 |
| Euler totient φ(n) | 50112 |
| Square | 5841697761 |
| Cube | 446486801570991 |
| Square root | 276.461571 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6431 × |
76431 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and thirty-one |
| Binary (base 2) | 10010101010001111 |
| Octal (base 8) | 225217 |
| Hexadecimal (base 16) | 12A8F |
| Base 3 | 10212211210 |
| As time | 76431 seconds = 21 h 13 min 51 s |
Is 76431 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76431 ÷ 3 = 25477) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76431 a prime number?
No. 76431 = 3 × 73 × 349, so it is divisible by 3.
What are the factors of 76431?
1, 3, 73, 219, 349, 1047, 25477, 76431.
What is 76431 in binary?
10010101010001111 (hexadecimal 12A8F, octal 225217).
What is the square root of 76431?
About 276.4616.
Is 76431 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76431?
It is a composite number with 8 divisors.