The number 10431
10431 is a composite number with 12 divisors. Its prime factorisation is × 19 × 61. Divisors (12): 1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477, 10431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10431: a Harshad number: divisible by its digit sum 9.
- 2
10431 is composite. Its prime factorisation is
- 3
The divisors add up to 16120; without 10431 itself that is 5689, so 10431 is deficient (5689 is less than 10431). Euler's totient φ(10431) = 6480 numbers up to 10431 share no factor with it.
- 4
The digits of 10431 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10431 = 3^{2} \times 19 \times 61 \]10431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16120 |
| Euler totient φ(n) | 6480 |
| Square | 108805761 |
| Cube | 1134952892991 |
| Square root | 102.132267 (= 3√1159) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0431 × |
10431 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and thirty-one |
| Binary (base 2) | 10100010111111 |
| Octal (base 8) | 24277 |
| Hexadecimal (base 16) | 28BF |
| Base 3 | 112022100 |
| As time | 10431 seconds = 2 h 53 min 51 s |
Is 10431 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 (10431 ÷ 3 = 3477) | 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 1) | 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 | Yes (10431 ÷ 9 = 1159) | 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 10431 a prime number?
No. 10431 = × 19 × 61, so it is divisible by 3.
What are the factors of 10431?
1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477, 10431.
What is 10431 in binary?
10100010111111 (hexadecimal 28BF, octal 24277).
What is the square root of 10431?
About 102.1323, exactly 3√1159.
Is 10431 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10431?
10431 is a Harshad number: divisible by its digit sum 9.