The number 36820
36820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 263. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 263, 526, 1052, 1315 … 36820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36820 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 36820 itself that is 51884, so 36820 is abundant (51884 is more than 36820). Euler's totient φ(36820) = 12576 numbers up to 36820 share no factor with it.
- 4
The digits of 36820 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36820 = 2^{2} \times 5 \times 7 \times 263 \]36820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 12576 |
| Square | 1355712400 |
| Cube | 49917330568000 |
| Square root | 191.885382 (= 2√9205) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.682 × |
36820 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and twenty |
| Binary (base 2) | 1000111111010100 |
| Octal (base 8) | 107724 |
| Hexadecimal (base 16) | 8FD4 |
| Base 3 | 1212111201 |
| As time | 36820 seconds = 10 h 13 min 40 s |
Is 36820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36820 ÷ 2 = 18410) | 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 (36820 ÷ 4 = 9205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36820 ÷ 5 = 7364) | 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 | Yes (36820 ÷ 7 = 5260) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36820 ÷ 10 = 3682) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 36820 a prime number?
No. 36820 = × 5 × 7 × 263, so it is divisible by 2.
What are the factors of 36820?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 263, 526, 1052, 1315, 1841, 2630, 3682, 5260, 7364, 9205, 18410, 36820.
What is 36820 in binary?
1000111111010100 (hexadecimal 8FD4, octal 107724).
What is the square root of 36820?
About 191.8854, exactly 2√9205.
Is 36820 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 36820?
It is a composite number with 24 divisors.