The number 83118
83118 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1979. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1979, 3958, 5937, 11874, 13853, 27706, 41559, 83118.
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How to work it out
- 1
What is special about 83118: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
83118 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 83118 itself that is 106962, so 83118 is abundant (106962 is more than 83118). Euler's totient φ(83118) = 23736 numbers up to 83118 share no factor with it.
- 4
The digits of 83118 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83118 = 2 \times 3 \times 7 \times 1979 \]
83118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 23736 |
| Square | 6908601924 |
| Cube | 574229174719032 |
| Square root | 288.301925 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3118 × |
83118 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and eighteen |
| Binary (base 2) | 10100010010101110 |
| Octal (base 8) | 242256 |
| Hexadecimal (base 16) | 144AE |
| Base 3 | 11020000110 |
| As time | 83118 seconds = 23 h 5 min 18 s |
Is 83118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83118 ÷ 2 = 41559) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83118 ÷ 3 = 27706) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83118 ÷ 6 = 13853) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83118 ÷ 7 = 11874) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 83118 a prime number?
No. 83118 = 2 × 3 × 7 × 1979, so it is divisible by 2.
What are the factors of 83118?
1, 2, 3, 6, 7, 14, 21, 42, 1979, 3958, 5937, 11874, 13853, 27706, 41559, 83118.
What is 83118 in binary?
10100010010101110 (hexadecimal 144AE, octal 242256).
What is the square root of 83118?
About 288.3019.
Is 83118 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83118?
83118 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.