The number 73601
73601 is a composite number with 4 divisors. Its prime factorisation is 11 × 6691. Divisors (4): 1, 11, 6691, 73601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73601: a semiprime: 11 × 6691, the product of two primes.
- 2
73601 is composite. Its prime factorisation is
- 3
The divisors add up to 80304; without 73601 itself that is 6703, so 73601 is deficient (6703 is less than 73601). Euler's totient φ(73601) = 66900 numbers up to 73601 share no factor with it.
- 4
The digits of 73601 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73601 = 11 \times 6691 \]
73601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 80304 |
| Euler totient φ(n) | 66900 |
| Square | 5417107201 |
| Cube | 398704507100801 |
| Square root | 271.295042 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3601 × |
73601 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and one |
| Binary (base 2) | 10001111110000001 |
| Octal (base 8) | 217601 |
| Hexadecimal (base 16) | 11F81 |
| Base 3 | 10201221222 |
| As time | 73601 seconds = 20 h 26 min 41 s |
Is 73601 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 | No (remainder 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 (73601 ÷ 11 = 6691) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73601 a prime number?
No. 73601 = 11 × 6691, so it is divisible by 11.
What are the factors of 73601?
1, 11, 6691, 73601.
What is 73601 in binary?
10001111110000001 (hexadecimal 11F81, octal 217601).
What is the square root of 73601?
About 271.2950.
Is 73601 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73601?
73601 is a semiprime: 11 × 6691, the product of two primes.