The number 72137
72137 is a composite number with 8 divisors. Its prime factorisation is 13 × 31 × 179. Divisors (8): 1, 13, 31, 179, 403, 2327, 5549, 72137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72137 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 72137 itself that is 8503, so 72137 is deficient (8503 is less than 72137). Euler's totient φ(72137) = 64080 numbers up to 72137 share no factor with it.
- 4
The digits of 72137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72137 = 13 \times 31 \times 179 \]
72137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 64080 |
| Square | 5203746769 |
| Cube | 375382680675353 |
| Square root | 268.583320 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2137 × |
72137 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirty-seven |
| Binary (base 2) | 10001100111001001 |
| Octal (base 8) | 214711 |
| Hexadecimal (base 16) | 119C9 |
| Base 3 | 10122221202 |
| As time | 72137 seconds = 20 h 2 min 17 s |
Is 72137 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 2) | 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 2) | 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 2) | 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 10) | 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 72137 a prime number?
No. 72137 = 13 × 31 × 179, so it is divisible by 13.
What are the factors of 72137?
1, 13, 31, 179, 403, 2327, 5549, 72137.
What is 72137 in binary?
10001100111001001 (hexadecimal 119C9, octal 214711).
What is the square root of 72137?
About 268.5833.
Is 72137 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72137?
It is a composite number with 8 divisors.