The number 31446
31446 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1747. Divisors (12): 1, 2, 3, 6, 9, 18, 1747, 3494, 5241, 10482, 15723, 31446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31446: a Harshad number: divisible by its digit sum 18.
- 2
31446 is composite. Its prime factorisation is
- 3
The divisors add up to 68172; without 31446 itself that is 36726, so 31446 is abundant (36726 is more than 31446). Euler's totient φ(31446) = 10476 numbers up to 31446 share no factor with it.
- 4
The digits of 31446 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31446 = 2 \times 3^{2} \times 1747 \]31446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68172 |
| Euler totient φ(n) | 10476 |
| Square | 988850916 |
| Cube | 31095405904536 |
| Square root | 177.330200 (= 3√3494) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1446 × |
31446 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and forty-six |
| Binary (base 2) | 111101011010110 |
| Octal (base 8) | 75326 |
| Hexadecimal (base 16) | 7AD6 |
| Base 3 | 1121010200 |
| As time | 31446 seconds = 8 h 44 min 6 s |
Is 31446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31446 ÷ 2 = 15723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31446 ÷ 3 = 10482) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31446 ÷ 6 = 5241) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31446 ÷ 9 = 3494) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 31446 a prime number?
No. 31446 = 2 × × 1747, so it is divisible by 2.
What are the factors of 31446?
1, 2, 3, 6, 9, 18, 1747, 3494, 5241, 10482, 15723, 31446.
What is 31446 in binary?
111101011010110 (hexadecimal 7AD6, octal 75326).
What is the square root of 31446?
About 177.3302, exactly 3√3494.
Is 31446 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31446?
31446 is a Harshad number: divisible by its digit sum 18.