The number 37020
37020 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 617. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 617, 1234, 1851, 2468 … 37020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37020: a Harshad number: divisible by its digit sum 12.
- 2
37020 is composite. Its prime factorisation is
- 3
The divisors add up to 103824; without 37020 itself that is 66804, so 37020 is abundant (66804 is more than 37020). Euler's totient φ(37020) = 9856 numbers up to 37020 share no factor with it.
- 4
The digits of 37020 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37020 = 2^{2} \times 3 \times 5 \times 617 \]37020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 103824 |
| Euler totient φ(n) | 9856 |
| Square | 1370480400 |
| Cube | 50735184408000 |
| Square root | 192.405821 (= 2√9255) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.702 × |
37020 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and twenty |
| Binary (base 2) | 1001000010011100 |
| Octal (base 8) | 110234 |
| Hexadecimal (base 16) | 909C |
| Base 3 | 1212210010 |
| As time | 37020 seconds = 10 h 17 min 0 s |
Is 37020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37020 ÷ 2 = 18510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37020 ÷ 3 = 12340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37020 ÷ 4 = 9255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37020 ÷ 5 = 7404) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37020 ÷ 6 = 6170) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37020 ÷ 10 = 3702) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37020 ÷ 12 = 3085) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37020 a prime number?
No. 37020 = × 3 × 5 × 617, so it is divisible by 2.
What are the factors of 37020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 617, 1234, 1851, 2468, 3085, 3702, 6170, 7404, 9255, 12340, 18510, 37020.
What is 37020 in binary?
1001000010011100 (hexadecimal 909C, octal 110234).
What is the square root of 37020?
About 192.4058, exactly 2√9255.
Is 37020 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 37020?
37020 is a Harshad number: divisible by its digit sum 12.