The number 36980
36980 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860, 1849, 3698, 7396, 9245 … 36980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36980: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36980 is composite. Its prime factorisation is
- 3
The divisors add up to 79506; without 36980 itself that is 42526, so 36980 is abundant (42526 is more than 36980). Euler's totient φ(36980) = 14448 numbers up to 36980 share no factor with it.
- 4
The digits of 36980 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36980 = 2^{2} \times 5 \times 43^{2} \]36980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 79506 |
| Euler totient φ(n) | 14448 |
| Square | 1367520400 |
| Cube | 50570904392000 |
| Square root | 192.301846 (= 86√5) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.698 × |
36980 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and eighty |
| Binary (base 2) | 1001000001110100 |
| Octal (base 8) | 110164 |
| Hexadecimal (base 16) | 9074 |
| Base 3 | 1212201122 |
| As time | 36980 seconds = 10 h 16 min 20 s |
Is 36980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36980 ÷ 2 = 18490) | 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 (36980 ÷ 4 = 9245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36980 ÷ 5 = 7396) | 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 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 | No (remainder 4) | 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 (36980 ÷ 10 = 3698) | 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 36980 a prime number?
No. 36980 = × 5 × , so it is divisible by 2.
What are the factors of 36980?
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860, 1849, 3698, 7396, 9245, 18490, 36980.
What is 36980 in binary?
1001000001110100 (hexadecimal 9074, octal 110164).
What is the square root of 36980?
About 192.3018, exactly 86√5.
Is 36980 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36980?
36980 is a happy number: repeatedly adding the squares of its digits reaches 1.