The number 83181
83181 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 233. Divisors (16): 1, 3, 7, 17, 21, 51, 119, 233, 357, 699, 1631, 3961, 4893, 11883, 27727, 83181.
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How to work it out
- 1
What is special about 83181: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
83181 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 83181 itself that is 51603, so 83181 is deficient (51603 is less than 83181). Euler's totient φ(83181) = 44544 numbers up to 83181 share no factor with it.
- 4
The digits of 83181 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83181 = 3 \times 7 \times 17 \times 233 \]
83181 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 44544 |
| Square | 6919078761 |
| Cube | 575535890418741 |
| Square root | 288.411165 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3181 × |
83181 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and eighty-one |
| Binary (base 2) | 10100010011101101 |
| Octal (base 8) | 242355 |
| Hexadecimal (base 16) | 144ED |
| Base 3 | 11020002210 |
| As time | 83181 seconds = 23 h 6 min 21 s |
Is 83181 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 (83181 ÷ 3 = 27727) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | Yes (83181 ÷ 7 = 11883) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83181 a prime number?
No. 83181 = 3 × 7 × 17 × 233, so it is divisible by 3.
What are the factors of 83181?
1, 3, 7, 17, 21, 51, 119, 233, 357, 699, 1631, 3961, 4893, 11883, 27727, 83181.
What is 83181 in binary?
10100010011101101 (hexadecimal 144ED, octal 242355).
What is the square root of 83181?
About 288.4112.
Is 83181 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83181?
83181 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.