The number 36890
36890 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 17 × 31. Divisors (32): 1, 2, 5, 7, 10, 14, 17, 31, 34, 35, 62, 70, 85, 119, 155, 170 … 36890.
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How to work it out
- 1
What is special about 36890: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36890 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 36890 itself that is 46054, so 36890 is abundant (46054 is more than 36890). Euler's totient φ(36890) = 11520 numbers up to 36890 share no factor with it.
- 4
The digits of 36890 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36890 = 2 \times 5 \times 7 \times 17 \times 31 \]
36890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 11520 |
| Square | 1360872100 |
| Cube | 50202571769000 |
| Square root | 192.067696 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.689 × |
36890 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and ninety |
| Binary (base 2) | 1001000000011010 |
| Octal (base 8) | 110032 |
| Hexadecimal (base 16) | 901A |
| Base 3 | 1212121022 |
| As time | 36890 seconds = 10 h 14 min 50 s |
Is 36890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36890 ÷ 2 = 18445) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36890 ÷ 5 = 7378) | 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 | Yes (36890 ÷ 7 = 5270) | 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 2) | 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 (36890 ÷ 10 = 3689) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36890 a prime number?
No. 36890 = 2 × 5 × 7 × 17 × 31, so it is divisible by 2.
What are the factors of 36890?
1, 2, 5, 7, 10, 14, 17, 31, 34, 35, 62, 70, 85, 119, 155, 170, 217, 238, 310, 434, 527, 595, 1054, 1085, 1190, 2170, 2635, 3689, 5270, 7378, 18445, 36890.
What is 36890 in binary?
1001000000011010 (hexadecimal 901A, octal 110032).
What is the square root of 36890?
About 192.0677.
Is 36890 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36890?
36890 is a happy number: repeatedly adding the squares of its digits reaches 1.