The number 3620
3620 is a composite number with 12 divisors. Its prime factorisation is × 5 × 181. Divisors (12): 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3620: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3620 is composite. Its prime factorisation is
- 3
The divisors add up to 7644; without 3620 itself that is 4024, so 3620 is abundant (4024 is more than 3620). Euler's totient φ(3620) = 1440 numbers up to 3620 share no factor with it.
- 4
The digits of 3620 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3620 = 2^{2} \times 5 \times 181 \]3620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7644 |
| Euler totient φ(n) | 1440 |
| Square | 13104400 |
| Cube | 47437928000 |
| Square root | 60.166436 (= 2√905) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.62 × |
3620 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and twenty |
| Roman numerals | MMMDCXX |
| Binary (base 2) | 111000100100 |
| Octal (base 8) | 7044 |
| Hexadecimal (base 16) | E24 |
| Base 3 | 11222002 |
| As time | 3620 seconds = 1 h 0 min 20 s |
Is 3620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3620 ÷ 2 = 1810) | 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 (3620 ÷ 4 = 905) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3620 ÷ 5 = 724) | 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3620 ÷ 10 = 362) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 3620 a prime number?
No. 3620 = × 5 × 181, so it is divisible by 2.
What are the factors of 3620?
1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620.
What is 3620 in binary?
111000100100 (hexadecimal E24, octal 7044).
What is the square root of 3620?
About 60.1664, exactly 2√905.
What is 3620 in Roman numerals?
MMMDCXX.
Is 3620 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3620?
3620 is a happy number: repeatedly adding the squares of its digits reaches 1.