The number 3520
3520 is a composite number with 28 divisors. Its prime factorisation is × 5 × 11. Divisors (28): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80 … 3520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3520: a Harshad number: divisible by its digit sum 10.
- 2
3520 is composite. Its prime factorisation is
- 3
The divisors add up to 9144; without 3520 itself that is 5624, so 3520 is abundant (5624 is more than 3520). Euler's totient φ(3520) = 1280 numbers up to 3520 share no factor with it.
- 4
The digits of 3520 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3520 = 2^{6} \times 5 \times 11 \]3520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 9144 |
| Euler totient φ(n) | 1280 |
| Square | 12390400 |
| Cube | 43614208000 |
| Square root | 59.329588 (= 8√55) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.52 × |
3520 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty |
| Roman numerals | MMMDXX |
| Binary (base 2) | 110111000000 |
| Octal (base 8) | 6700 |
| Hexadecimal (base 16) | DC0 |
| Base 3 | 11211101 |
| As time | 3520 seconds = 58 min 40 s |
Is 3520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3520 ÷ 2 = 1760) | 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 (3520 ÷ 4 = 880) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3520 ÷ 5 = 704) | 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 (3520 ÷ 8 = 440) | 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 (3520 ÷ 10 = 352) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3520 ÷ 11 = 320) | 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 3520 a prime number?
No. 3520 = × 5 × 11, so it is divisible by 2.
What are the factors of 3520?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520.
What is 3520 in binary?
110111000000 (hexadecimal DC0, octal 6700).
What is the square root of 3520?
About 59.3296, exactly 8√55.
What is 3520 in Roman numerals?
MMMDXX.
Is 3520 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3520?
3520 is a Harshad number: divisible by its digit sum 10.