The number 31642
31642 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1217. Divisors (8): 1, 2, 13, 26, 1217, 2434, 15821, 31642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31642 is composite. Its prime factorisation is
- 3
The divisors add up to 51156; without 31642 itself that is 19514, so 31642 is deficient (19514 is less than 31642). Euler's totient φ(31642) = 14592 numbers up to 31642 share no factor with it.
- 4
The digits of 31642 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31642 = 2 \times 13 \times 1217 \]
31642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51156 |
| Euler totient φ(n) | 14592 |
| Square | 1001216164 |
| Cube | 31680481861288 |
| Square root | 177.881983 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1642 × |
31642 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and forty-two |
| Binary (base 2) | 111101110011010 |
| Octal (base 8) | 75632 |
| Hexadecimal (base 16) | 7B9A |
| Base 3 | 1121101221 |
| As time | 31642 seconds = 8 h 47 min 22 s |
Is 31642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31642 ÷ 2 = 15821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31642 a prime number?
No. 31642 = 2 × 13 × 1217, so it is divisible by 2.
What are the factors of 31642?
1, 2, 13, 26, 1217, 2434, 15821, 31642.
What is 31642 in binary?
111101110011010 (hexadecimal 7B9A, octal 75632).
What is the square root of 31642?
About 177.8820.
Is 31642 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31642?
It is a composite number with 8 divisors.