The number 36987
36987 is a composite number with 4 divisors. Its prime factorisation is 3 × 12329. Divisors (4): 1, 3, 12329, 36987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36987: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 12329, the product of two primes.
- 2
36987 is composite. Its prime factorisation is
- 3
The divisors add up to 49320; without 36987 itself that is 12333, so 36987 is deficient (12333 is less than 36987). Euler's totient φ(36987) = 24656 numbers up to 36987 share no factor with it.
- 4
The digits of 36987 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36987 = 3 \times 12329 \]
36987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49320 |
| Euler totient φ(n) | 24656 |
| Square | 1368038169 |
| Cube | 50599627756803 |
| Square root | 192.320046 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6987 × |
36987 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and eighty-seven |
| Binary (base 2) | 1001000001111011 |
| Octal (base 8) | 110173 |
| Hexadecimal (base 16) | 907B |
| Base 3 | 1212201220 |
| As time | 36987 seconds = 10 h 16 min 27 s |
Is 36987 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36987 ÷ 3 = 12329) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36987 a prime number?
No. 36987 = 3 × 12329, so it is divisible by 3.
What are the factors of 36987?
1, 3, 12329, 36987.
What is 36987 in binary?
1001000001111011 (hexadecimal 907B, octal 110173).
What is the square root of 36987?
About 192.3200.
Is 36987 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 36987?
36987 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 12329, the product of two primes.