The number 83979
83979 is a composite number with 24 divisors. Its prime factorisation is × 7 × 31 × 43. Divisors (24): 1, 3, 7, 9, 21, 31, 43, 63, 93, 129, 217, 279, 301, 387, 651, 903 … 83979.
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How to work it out
- 1
83979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83979 is composite. Its prime factorisation is
- 3
The divisors add up to 146432; without 83979 itself that is 62453, so 83979 is deficient (62453 is less than 83979). Euler's totient φ(83979) = 45360 numbers up to 83979 share no factor with it.
- 4
The digits of 83979 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83979 = 3^{2} \times 7 \times 31 \times 43 \]83979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 146432 |
| Euler totient φ(n) | 45360 |
| Square | 7052472441 |
| Cube | 592259583122739 |
| Square root | 289.791304 (= 3√9331) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.3979 × |
83979 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and seventy-nine |
| Binary (base 2) | 10100100000001011 |
| Octal (base 8) | 244013 |
| Hexadecimal (base 16) | 1480B |
| Base 3 | 11021012100 |
| As time | 83979 seconds = 23 h 19 min 39 s |
Is 83979 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 (83979 ÷ 3 = 27993) | 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 (83979 ÷ 7 = 11997) | 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 | Yes (83979 ÷ 9 = 9331) | 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 5) | 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 83979 a prime number?
No. 83979 = × 7 × 31 × 43, so it is divisible by 3.
What are the factors of 83979?
1, 3, 7, 9, 21, 31, 43, 63, 93, 129, 217, 279, 301, 387, 651, 903, 1333, 1953, 2709, 3999, 9331, 11997, 27993, 83979.
What is 83979 in binary?
10100100000001011 (hexadecimal 1480B, octal 244013).
What is the square root of 83979?
About 289.7913, exactly 3√9331.
Is 83979 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 83979?
It is a composite number with 24 divisors.