The number 73491
73491 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 131. Divisors (16): 1, 3, 11, 17, 33, 51, 131, 187, 393, 561, 1441, 2227, 4323, 6681, 24497, 73491.
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How to work it out
- 1
73491 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73491 is composite. Its prime factorisation is
- 3
The divisors add up to 114048; without 73491 itself that is 40557, so 73491 is deficient (40557 is less than 73491). Euler's totient φ(73491) = 41600 numbers up to 73491 share no factor with it.
- 4
The digits of 73491 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73491 = 3 \times 11 \times 17 \times 131 \]
73491 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114048 |
| Euler totient φ(n) | 41600 |
| Square | 5400927081 |
| Cube | 396919532109771 |
| Square root | 271.092235 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.3491 × |
73491 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and ninety-one |
| Binary (base 2) | 10001111100010011 |
| Octal (base 8) | 217423 |
| Hexadecimal (base 16) | 11F13 |
| Base 3 | 10201210220 |
| As time | 73491 seconds = 20 h 24 min 51 s |
Is 73491 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 (73491 ÷ 3 = 24497) | 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 1) | 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73491 ÷ 11 = 6681) | 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 73491 a prime number?
No. 73491 = 3 × 11 × 17 × 131, so it is divisible by 3.
What are the factors of 73491?
1, 3, 11, 17, 33, 51, 131, 187, 393, 561, 1441, 2227, 4323, 6681, 24497, 73491.
What is 73491 in binary?
10001111100010011 (hexadecimal 11F13, octal 217423).
What is the square root of 73491?
About 271.0922.
Is 73491 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73491?
It is a composite number with 16 divisors.