The number 67431
67431 is a composite number with 24 divisors. Its prime factorisation is 3 × 7 × × 19. Divisors (24): 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 169, 247, 273, 399, 507, 741 … 67431.
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How to work it out
- 1
What is special about 67431: a Harshad number: divisible by its digit sum 21.
- 2
67431 is composite. Its prime factorisation is
- 3
The divisors add up to 117120; without 67431 itself that is 49689, so 67431 is deficient (49689 is less than 67431). Euler's totient φ(67431) = 33696 numbers up to 67431 share no factor with it.
- 4
The digits of 67431 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 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67431 = 3 \times 7 \times 13^{2} \times 19 \]67431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117120 |
| Euler totient φ(n) | 33696 |
| Square | 4546939761 |
| Cube | 306604695023991 |
| Square root | 259.674797 (= 13√399) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 192 |
| Scientific notation | 6.7431 × |
67431 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and thirty-one |
| Binary (base 2) | 10000011101100111 |
| Octal (base 8) | 203547 |
| Hexadecimal (base 16) | 10767 |
| Base 3 | 10102111110 |
| As time | 67431 seconds = 18 h 43 min 51 s |
Is 67431 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 (67431 ÷ 3 = 22477) | 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 | Yes (67431 ÷ 7 = 9633) | 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 1) | 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 67431 a prime number?
No. 67431 = 3 × 7 × × 19, so it is divisible by 3.
What are the factors of 67431?
1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 169, 247, 273, 399, 507, 741, 1183, 1729, 3211, 3549, 5187, 9633, 22477, 67431.
What is 67431 in binary?
10000011101100111 (hexadecimal 10767, octal 203547).
What is the square root of 67431?
About 259.6748, exactly 13√399.
Is 67431 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67431?
67431 is a Harshad number: divisible by its digit sum 21.