The number 83320
83320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2083. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2083, 4166, 8332, 10415, 16664, 20830, 41660, 83320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83320: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83320 is composite. Its prime factorisation is
- 3
The divisors add up to 187560; without 83320 itself that is 104240, so 83320 is abundant (104240 is more than 83320). Euler's totient φ(83320) = 33312 numbers up to 83320 share no factor with it.
- 4
The digits of 83320 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 257 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83320 = 2^{3} \times 5 \times 2083 \]83320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 187560 |
| Euler totient φ(n) | 33312 |
| Square | 6942222400 |
| Cube | 578425970368000 |
| Square root | 288.652040 (= 2√20830) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 257 |
| Scientific notation | 8.332 × |
83320 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and twenty |
| Binary (base 2) | 10100010101111000 |
| Octal (base 8) | 242570 |
| Hexadecimal (base 16) | 14578 |
| Base 3 | 11020021221 |
| As time | 83320 seconds = 23 h 8 min 40 s |
Is 83320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83320 ÷ 2 = 41660) | 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 (83320 ÷ 4 = 20830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83320 ÷ 5 = 16664) | 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 | Yes (83320 ÷ 8 = 10415) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83320 ÷ 10 = 8332) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 83320 a prime number?
No. 83320 = × 5 × 2083, so it is divisible by 2.
What are the factors of 83320?
1, 2, 4, 5, 8, 10, 20, 40, 2083, 4166, 8332, 10415, 16664, 20830, 41660, 83320.
What is 83320 in binary?
10100010101111000 (hexadecimal 14578, octal 242570).
What is the square root of 83320?
About 288.6520, exactly 2√20830.
Is 83320 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83320?
83320 is a happy number: repeatedly adding the squares of its digits reaches 1.