The number 73401
73401 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 569. Divisors (8): 1, 3, 43, 129, 569, 1707, 24467, 73401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73401 is composite. Its prime factorisation is
- 3
The divisors add up to 100320; without 73401 itself that is 26919, so 73401 is deficient (26919 is less than 73401). Euler's totient φ(73401) = 47712 numbers up to 73401 share no factor with it.
- 4
The digits of 73401 add up to 15, 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
\[ 73401 = 3 \times 43 \times 569 \]
73401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100320 |
| Euler totient φ(n) | 47712 |
| Square | 5387706801 |
| Cube | 395463066900201 |
| Square root | 270.926189 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3401 × |
73401 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and one |
| Binary (base 2) | 10001111010111001 |
| Octal (base 8) | 217271 |
| Hexadecimal (base 16) | 11EB9 |
| Base 3 | 10201200120 |
| As time | 73401 seconds = 20 h 23 min 21 s |
Is 73401 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 (73401 ÷ 3 = 24467) | 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 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 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 1) | 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 | No (remainder 9) | 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 73401 a prime number?
No. 73401 = 3 × 43 × 569, so it is divisible by 3.
What are the factors of 73401?
1, 3, 43, 129, 569, 1707, 24467, 73401.
What is 73401 in binary?
10001111010111001 (hexadecimal 11EB9, octal 217271).
What is the square root of 73401?
About 270.9262.
Is 73401 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73401?
It is a composite number with 8 divisors.