The number 83740
83740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 53 × 79. Divisors (24): 1, 2, 4, 5, 10, 20, 53, 79, 106, 158, 212, 265, 316, 395, 530, 790 … 83740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83740 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 83740 itself that is 97700, so 83740 is abundant (97700 is more than 83740). Euler's totient φ(83740) = 32448 numbers up to 83740 share no factor with it.
- 4
The digits of 83740 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83740 = 2^{2} \times 5 \times 53 \times 79 \]83740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 32448 |
| Square | 7012387600 |
| Cube | 587217337624000 |
| Square root | 289.378645 (= 2√20935) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.374 × |
83740 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and forty |
| Binary (base 2) | 10100011100011100 |
| Octal (base 8) | 243434 |
| Hexadecimal (base 16) | 1471C |
| Base 3 | 11020212111 |
| As time | 83740 seconds = 23 h 15 min 40 s |
Is 83740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83740 ÷ 2 = 41870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83740 ÷ 4 = 20935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83740 ÷ 5 = 16748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83740 ÷ 10 = 8374) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83740 a prime number?
No. 83740 = × 5 × 53 × 79, so it is divisible by 2.
What are the factors of 83740?
1, 2, 4, 5, 10, 20, 53, 79, 106, 158, 212, 265, 316, 395, 530, 790, 1060, 1580, 4187, 8374, 16748, 20935, 41870, 83740.
What is 83740 in binary?
10100011100011100 (hexadecimal 1471C, octal 243434).
What is the square root of 83740?
About 289.3786, exactly 2√20935.
Is 83740 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83740?
It is a composite number with 24 divisors.