The number 36700
36700 is a composite number with 18 divisors. Its prime factorisation is × × 367. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 367, 734, 1468, 1835, 3670, 7340, 9175 … 36700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36700: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36700 is composite. Its prime factorisation is
- 3
The divisors add up to 79856; without 36700 itself that is 43156, so 36700 is abundant (43156 is more than 36700). Euler's totient φ(36700) = 14640 numbers up to 36700 share no factor with it.
- 4
The digits of 36700 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36700 = 2^{2} \times 5^{2} \times 367 \]36700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 79856 |
| Euler totient φ(n) | 14640 |
| Square | 1346890000 |
| Cube | 49430863000000 |
| Square root | 191.572441 (= 10√367) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.67 × |
36700 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred |
| Binary (base 2) | 1000111101011100 |
| Octal (base 8) | 107534 |
| Hexadecimal (base 16) | 8F5C |
| Base 3 | 1212100021 |
| As time | 36700 seconds = 10 h 11 min 40 s |
Is 36700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36700 ÷ 2 = 18350) | 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 (36700 ÷ 4 = 9175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36700 ÷ 5 = 7340) | 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 | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36700 ÷ 10 = 3670) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 36700 a prime number?
No. 36700 = × × 367, so it is divisible by 2.
What are the factors of 36700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 367, 734, 1468, 1835, 3670, 7340, 9175, 18350, 36700.
What is 36700 in binary?
1000111101011100 (hexadecimal 8F5C, octal 107534).
What is the square root of 36700?
About 191.5724, exactly 10√367.
Is 36700 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 36700?
36700 is a happy number: repeatedly adding the squares of its digits reaches 1.