The number 36993
36993 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 19 × 59. Divisors (16): 1, 3, 11, 19, 33, 57, 59, 177, 209, 627, 649, 1121, 1947, 3363, 12331, 36993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36993 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 36993 itself that is 20607, so 36993 is deficient (20607 is less than 36993). Euler's totient φ(36993) = 20880 numbers up to 36993 share no factor with it.
- 4
The digits of 36993 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36993 = 3 \times 11 \times 19 \times 59 \]
36993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 20880 |
| Square | 1368482049 |
| Cube | 50624256438657 |
| Square root | 192.335644 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6993 × |
36993 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and ninety-three |
| Binary (base 2) | 1001000010000001 |
| Octal (base 8) | 110201 |
| Hexadecimal (base 16) | 9081 |
| Base 3 | 1212202010 |
| As time | 36993 seconds = 10 h 16 min 33 s |
Is 36993 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 (36993 ÷ 3 = 12331) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36993 ÷ 11 = 3363) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36993 a prime number?
No. 36993 = 3 × 11 × 19 × 59, so it is divisible by 3.
What are the factors of 36993?
1, 3, 11, 19, 33, 57, 59, 177, 209, 627, 649, 1121, 1947, 3363, 12331, 36993.
What is 36993 in binary?
1001000010000001 (hexadecimal 9081, octal 110201).
What is the square root of 36993?
About 192.3356.
Is 36993 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 36993?
It is a composite number with 16 divisors.