The number 83360
83360 is a composite number with 24 divisors. Its prime factorisation is × 5 × 521. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 521, 1042, 2084, 2605 … 83360.
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How to work it out
- 1
What is special about 83360: a Harshad number: divisible by its digit sum 20.
- 2
83360 is composite. Its prime factorisation is
- 3
The divisors add up to 197316; without 83360 itself that is 113956, so 83360 is abundant (113956 is more than 83360). Euler's totient φ(83360) = 33280 numbers up to 83360 share no factor with it.
- 4
The digits of 83360 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83360 = 2^{5} \times 5 \times 521 \]83360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 197316 |
| Euler totient φ(n) | 33280 |
| Square | 6948889600 |
| Cube | 579259437056000 |
| Square root | 288.721319 (= 4√5210) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.336 × |
83360 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and sixty |
| Binary (base 2) | 10100010110100000 |
| Octal (base 8) | 242640 |
| Hexadecimal (base 16) | 145A0 |
| Base 3 | 11020100102 |
| As time | 83360 seconds = 23 h 9 min 20 s |
Is 83360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83360 ÷ 2 = 41680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83360 ÷ 4 = 20840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83360 ÷ 5 = 16672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (83360 ÷ 8 = 10420) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83360 ÷ 10 = 8336) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83360 a prime number?
No. 83360 = × 5 × 521, so it is divisible by 2.
What are the factors of 83360?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 521, 1042, 2084, 2605, 4168, 5210, 8336, 10420, 16672, 20840, 41680, 83360.
What is 83360 in binary?
10100010110100000 (hexadecimal 145A0, octal 242640).
What is the square root of 83360?
About 288.7213, exactly 4√5210.
Is 83360 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83360?
83360 is a Harshad number: divisible by its digit sum 20.