The number 31434
31434 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 31. Divisors (24): 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507 … 31434.
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How to work it out
- 1
31434 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31434 is composite. Its prime factorisation is
- 3
The divisors add up to 70272; without 31434 itself that is 38838, so 31434 is abundant (38838 is more than 31434). Euler's totient φ(31434) = 9360 numbers up to 31434 share no factor with it.
- 4
The digits of 31434 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31434 = 2 \times 3 \times 13^{2} \times 31 \]31434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70272 |
| Euler totient φ(n) | 9360 |
| Square | 988096356 |
| Cube | 31059820854504 |
| Square root | 177.296362 (= 13√186) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1434 × |
31434 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and thirty-four |
| Binary (base 2) | 111101011001010 |
| Octal (base 8) | 75312 |
| Hexadecimal (base 16) | 7ACA |
| Base 3 | 1121010020 |
| As time | 31434 seconds = 8 h 43 min 54 s |
Is 31434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31434 ÷ 2 = 15717) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31434 ÷ 3 = 10478) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (31434 ÷ 6 = 5239) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31434 a prime number?
No. 31434 = 2 × 3 × × 31, so it is divisible by 2.
What are the factors of 31434?
1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507, 806, 1014, 1209, 2418, 5239, 10478, 15717, 31434.
What is 31434 in binary?
111101011001010 (hexadecimal 7ACA, octal 75312).
What is the square root of 31434?
About 177.2964, exactly 13√186.
Is 31434 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31434?
It is a composite number with 24 divisors.