The number 83380
83380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 379. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 379, 758, 1516, 1895 … 83380.
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How to work it out
- 1
What is special about 83380: a Harshad number: divisible by its digit sum 22.
- 2
83380 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 83380 itself that is 108140, so 83380 is abundant (108140 is more than 83380). Euler's totient φ(83380) = 30240 numbers up to 83380 share no factor with it.
- 4
The digits of 83380 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83380 = 2^{2} \times 5 \times 11 \times 379 \]83380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 30240 |
| Square | 6952224400 |
| Cube | 579676470472000 |
| Square root | 288.755952 (= 2√20845) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.338 × |
83380 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and eighty |
| Binary (base 2) | 10100010110110100 |
| Octal (base 8) | 242664 |
| Hexadecimal (base 16) | 145B4 |
| Base 3 | 11020101011 |
| As time | 83380 seconds = 23 h 9 min 40 s |
Is 83380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83380 ÷ 2 = 41690) | 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 (83380 ÷ 4 = 20845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83380 ÷ 5 = 16676) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83380 ÷ 10 = 8338) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83380 ÷ 11 = 7580) | 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 83380 a prime number?
No. 83380 = × 5 × 11 × 379, so it is divisible by 2.
What are the factors of 83380?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 379, 758, 1516, 1895, 3790, 4169, 7580, 8338, 16676, 20845, 41690, 83380.
What is 83380 in binary?
10100010110110100 (hexadecimal 145B4, octal 242664).
What is the square root of 83380?
About 288.7560, exactly 2√20845.
Is 83380 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83380?
83380 is a Harshad number: divisible by its digit sum 22.