The number 73986
73986 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 19 × 59. Divisors (32): 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 59, 66, 114, 118, 177, 209 … 73986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73986: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.
- 2
73986 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 73986 itself that is 98814, so 73986 is abundant (98814 is more than 73986). Euler's totient φ(73986) = 20880 numbers up to 73986 share no factor with it.
- 4
The digits of 73986 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73986 = 2 \times 3 \times 11 \times 19 \times 59 \]
73986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 20880 |
| Square | 5473928196 |
| Cube | 404994051509256 |
| Square root | 272.003676 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3986 × |
73986 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and eighty-six |
| Binary (base 2) | 10010000100000010 |
| Octal (base 8) | 220402 |
| Hexadecimal (base 16) | 12102 |
| Base 3 | 10202111020 |
| As time | 73986 seconds = 20 h 33 min 6 s |
Is 73986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73986 ÷ 2 = 36993) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73986 ÷ 3 = 24662) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73986 ÷ 6 = 12331) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73986 ÷ 11 = 6726) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73986 a prime number?
No. 73986 = 2 × 3 × 11 × 19 × 59, so it is divisible by 2.
What are the factors of 73986?
1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 59, 66, 114, 118, 177, 209, 354, 418, 627, 649, 1121, 1254, 1298, 1947, 2242, 3363, 3894, 6726, 12331, 24662, 36993, 73986.
What is 73986 in binary?
10010000100000010 (hexadecimal 12102, octal 220402).
What is the square root of 73986?
About 272.0037.
Is 73986 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 73986?
73986 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.