The number 73137
73137 is a palindrome: it reads 73137 backwards too. Its prime factorisation is 3 × 24379. Divisors (4): 1, 3, 24379, 73137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73137: a palindrome: it reads 73137 backwards too; a semiprime: 3 × 24379, the product of two primes.
- 2
73137 is composite. Its prime factorisation is
- 3
The divisors add up to 97520; without 73137 itself that is 24383, so 73137 is deficient (24383 is less than 73137). Euler's totient φ(73137) = 48756 numbers up to 73137 share no factor with it.
- 4
The digits of 73137 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73137 = 3 \times 24379 \]
73137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 97520 |
| Euler totient φ(n) | 48756 |
| Square | 5349020769 |
| Cube | 391211331982353 |
| Square root | 270.438533 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3137 × |
73137 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and thirty-seven |
| Binary (base 2) | 10001110110110001 |
| Octal (base 8) | 216661 |
| Hexadecimal (base 16) | 11DB1 |
| Base 3 | 10201022210 |
| As time | 73137 seconds = 20 h 18 min 57 s |
Is 73137 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 (73137 ÷ 3 = 24379) | 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 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 73137 a prime number?
No. 73137 = 3 × 24379, so it is divisible by 3.
What are the factors of 73137?
1, 3, 24379, 73137.
What is 73137 in binary?
10001110110110001 (hexadecimal 11DB1, octal 216661).
What is the square root of 73137?
About 270.4385.
Is 73137 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73137?
73137 is a palindrome: it reads 73137 backwards too; a semiprime: 3 × 24379, the product of two primes.