The number 72139
72139 is the 7141st prime number. Its only divisors are 1 and 72139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72139: the 7141st prime number.
- 2
72139 is prime, so its only factors are 1 and 72139. It is the 7141st prime; the next prime is 72161 and the one before is 72109.
- 3
The divisors add up to 72140; without 72139 itself that is 1, so 72139 is deficient (1 is less than 72139). Euler's totient φ(72139) = 72138 numbers up to 72139 share no factor with it.
- 4
The digits of 72139 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
72139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72140 |
| Euler totient φ(n) | 72138 |
| Square | 5204035321 |
| Cube | 375413904021619 |
| Square root | 268.587044 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2139 × |
72139 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirty-nine |
| Binary (base 2) | 10001100111001011 |
| Octal (base 8) | 214713 |
| Hexadecimal (base 16) | 119CB |
| Base 3 | 10122221211 |
| As time | 72139 seconds = 20 h 2 min 19 s |
Is 72139 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72139 a prime number?
Yes. 72139 is divisible only by 1 and itself.
What are the factors of 72139?
1, 72139.
What is 72139 in binary?
10001100111001011 (hexadecimal 119CB, octal 214713).
What is the square root of 72139?
About 268.5870.
Is 72139 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72139?
72139 is the 7141st prime number.