The number 83940
83940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1399. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1399, 2798, 4197, 5596 … 83940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83940 is composite. Its prime factorisation is
- 3
The divisors add up to 235200; without 83940 itself that is 151260, so 83940 is abundant (151260 is more than 83940). Euler's totient φ(83940) = 22368 numbers up to 83940 share no factor with it.
- 4
The digits of 83940 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83940 = 2^{2} \times 3 \times 5 \times 1399 \]83940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 235200 |
| Euler totient φ(n) | 22368 |
| Square | 7045923600 |
| Cube | 591434826984000 |
| Square root | 289.724007 (= 2√20985) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.394 × |
83940 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and forty |
| Binary (base 2) | 10100011111100100 |
| Octal (base 8) | 243744 |
| Hexadecimal (base 16) | 147E4 |
| Base 3 | 11021010220 |
| As time | 83940 seconds = 23 h 19 min 0 s |
Is 83940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83940 ÷ 2 = 41970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83940 ÷ 3 = 27980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83940 ÷ 4 = 20985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83940 ÷ 5 = 16788) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83940 ÷ 6 = 13990) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 | Yes (83940 ÷ 10 = 8394) | 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 | Yes (83940 ÷ 12 = 6995) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83940 a prime number?
No. 83940 = × 3 × 5 × 1399, so it is divisible by 2.
What are the factors of 83940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1399, 2798, 4197, 5596, 6995, 8394, 13990, 16788, 20985, 27980, 41970, 83940.
What is 83940 in binary?
10100011111100100 (hexadecimal 147E4, octal 243744).
What is the square root of 83940?
About 289.7240, exactly 2√20985.
Is 83940 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83940?
It is a composite number with 24 divisors.