The number 83440
83440 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 149. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 83440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83440 is composite. Its prime factorisation is
- 3
The divisors add up to 223200; without 83440 itself that is 139760, so 83440 is abundant (139760 is more than 83440). Euler's totient φ(83440) = 28416 numbers up to 83440 share no factor with it.
- 4
The digits of 83440 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83440 = 2^{4} \times 5 \times 7 \times 149 \]83440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 223200 |
| Euler totient φ(n) | 28416 |
| Square | 6962233600 |
| Cube | 580928771584000 |
| Square root | 288.859828 (= 4√5215) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.344 × |
83440 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and forty |
| Binary (base 2) | 10100010111110000 |
| Octal (base 8) | 242760 |
| Hexadecimal (base 16) | 145F0 |
| Base 3 | 11020110101 |
| As time | 83440 seconds = 23 h 10 min 40 s |
Is 83440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83440 ÷ 2 = 41720) | 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 (83440 ÷ 4 = 20860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83440 ÷ 5 = 16688) | 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 | Yes (83440 ÷ 7 = 11920) | 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 | Yes (83440 ÷ 8 = 10430) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83440 ÷ 10 = 8344) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83440 a prime number?
No. 83440 = × 5 × 7 × 149, so it is divisible by 2.
What are the factors of 83440?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 149, 280, 298, 560, 596, 745, 1043, 1192, 1490, 2086, 2384, 2980, 4172, 5215, 5960, 8344, 10430, 11920, 16688, 20860, 41720, 83440.
What is 83440 in binary?
10100010111110000 (hexadecimal 145F0, octal 242760).
What is the square root of 83440?
About 288.8598, exactly 4√5215.
Is 83440 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 83440?
It is a composite number with 40 divisors.