The number 80631
80631 is a composite number with 18 divisors. Its prime factorisation is × × 31. Divisors (18): 1, 3, 9, 17, 31, 51, 93, 153, 279, 289, 527, 867, 1581, 2601, 4743, 8959 … 80631.
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How to work it out
- 1
80631 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80631 is composite. Its prime factorisation is
- 3
The divisors add up to 127712; without 80631 itself that is 47081, so 80631 is deficient (47081 is less than 80631). Euler's totient φ(80631) = 48960 numbers up to 80631 share no factor with it.
- 4
The digits of 80631 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80631 = 3^{2} \times 17^{2} \times 31 \]80631 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 127712 |
| Euler totient φ(n) | 48960 |
| Square | 6501358161 |
| Cube | 524211009879591 |
| Square root | 283.955983 (= 51√31) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0631 × |
80631 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand six hundred and thirty-one |
| Binary (base 2) | 10011101011110111 |
| Octal (base 8) | 235367 |
| Hexadecimal (base 16) | 13AF7 |
| Base 3 | 11002121100 |
| As time | 80631 seconds = 22 h 23 min 51 s |
Is 80631 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 (80631 ÷ 3 = 26877) | 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 5) | 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 (80631 ÷ 9 = 8959) | 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 80631 a prime number?
No. 80631 = × × 31, so it is divisible by 3.
What are the factors of 80631?
1, 3, 9, 17, 31, 51, 93, 153, 279, 289, 527, 867, 1581, 2601, 4743, 8959, 26877, 80631.
What is 80631 in binary?
10011101011110111 (hexadecimal 13AF7, octal 235367).
What is the square root of 80631?
About 283.9560, exactly 51√31.
Is 80631 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80631?
It is a composite number with 18 divisors.