The number 83139
83139 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 37 × 107. Divisors (16): 1, 3, 7, 21, 37, 107, 111, 259, 321, 749, 777, 2247, 3959, 11877, 27713, 83139.
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How to work it out
- 1
83139 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83139 is composite. Its prime factorisation is
- 3
The divisors add up to 131328; without 83139 itself that is 48189, so 83139 is deficient (48189 is less than 83139). Euler's totient φ(83139) = 45792 numbers up to 83139 share no factor with it.
- 4
The digits of 83139 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83139 = 3 \times 7 \times 37 \times 107 \]
83139 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131328 |
| Euler totient φ(n) | 45792 |
| Square | 6912093321 |
| Cube | 574664526614619 |
| Square root | 288.338343 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 8.3139 × |
83139 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and thirty-nine |
| Binary (base 2) | 10100010011000011 |
| Octal (base 8) | 242303 |
| Hexadecimal (base 16) | 144C3 |
| Base 3 | 11020001020 |
| As time | 83139 seconds = 23 h 5 min 39 s |
Is 83139 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 (83139 ÷ 3 = 27713) | 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 4) | 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 (83139 ÷ 7 = 11877) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 83139 a prime number?
No. 83139 = 3 × 7 × 37 × 107, so it is divisible by 3.
What are the factors of 83139?
1, 3, 7, 21, 37, 107, 111, 259, 321, 749, 777, 2247, 3959, 11877, 27713, 83139.
What is 83139 in binary?
10100010011000011 (hexadecimal 144C3, octal 242303).
What is the square root of 83139?
About 288.3383.
Is 83139 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83139?
It is a composite number with 16 divisors.