The number 3320
3320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 83. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3320: a Harshad number: divisible by its digit sum 8.
- 2
3320 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 3320 itself that is 4240, so 3320 is abundant (4240 is more than 3320). Euler's totient φ(3320) = 1312 numbers up to 3320 share no factor with it.
- 4
The digits of 3320 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3320 = 2^{3} \times 5 \times 83 \]3320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1312 |
| Square | 11022400 |
| Cube | 36594368000 |
| Square root | 57.619441 (= 2√830) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.32 × |
3320 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty |
| Roman numerals | MMMCCCXX |
| Binary (base 2) | 110011111000 |
| Octal (base 8) | 6370 |
| Hexadecimal (base 16) | CF8 |
| Base 3 | 11112222 |
| As time | 3320 seconds = 55 min 20 s |
Is 3320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3320 ÷ 2 = 1660) | 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 (3320 ÷ 4 = 830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3320 ÷ 5 = 664) | 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 2) | 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 (3320 ÷ 8 = 415) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3320 ÷ 10 = 332) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 3320 a prime number?
No. 3320 = × 5 × 83, so it is divisible by 2.
What are the factors of 3320?
1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320.
What is 3320 in binary?
110011111000 (hexadecimal CF8, octal 6370).
What is the square root of 3320?
About 57.6194, exactly 2√830.
What is 3320 in Roman numerals?
MMMCCCXX.
Is 3320 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3320?
3320 is a Harshad number: divisible by its digit sum 8.