The number 73746
73746 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 241. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 241, 306, 482, 723, 1446 … 73746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73746 is composite. Its prime factorisation is
- 3
The divisors add up to 169884; without 73746 itself that is 96138, so 73746 is abundant (96138 is more than 73746). Euler's totient φ(73746) = 23040 numbers up to 73746 share no factor with it.
- 4
The digits of 73746 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73746 = 2 \times 3^{2} \times 17 \times 241 \]73746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 169884 |
| Euler totient φ(n) | 23040 |
| Square | 5438472516 |
| Cube | 401065594164936 |
| Square root | 271.562148 (= 3√8194) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3746 × |
73746 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty-six |
| Binary (base 2) | 10010000000010010 |
| Octal (base 8) | 220022 |
| Hexadecimal (base 16) | 12012 |
| Base 3 | 10202011100 |
| As time | 73746 seconds = 20 h 29 min 6 s |
Is 73746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73746 ÷ 2 = 36873) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73746 ÷ 3 = 24582) | 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 (73746 ÷ 6 = 12291) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (73746 ÷ 9 = 8194) | 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 | No (remainder 2) | 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 73746 a prime number?
No. 73746 = 2 × × 17 × 241, so it is divisible by 2.
What are the factors of 73746?
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 241, 306, 482, 723, 1446, 2169, 4097, 4338, 8194, 12291, 24582, 36873, 73746.
What is 73746 in binary?
10010000000010010 (hexadecimal 12012, octal 220022).
What is the square root of 73746?
About 271.5621, exactly 3√8194.
Is 73746 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73746?
It is a composite number with 24 divisors.