The number 74131
74131 is the 7312th prime number. Its only divisors are 1 and 74131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74131: the 7312th prime number.
- 2
74131 is prime, so its only factors are 1 and 74131. It is the 7312th prime; the next prime is 74143 and the one before is 74101.
- 3
The divisors add up to 74132; without 74131 itself that is 1, so 74131 is deficient (1 is less than 74131). Euler's totient φ(74131) = 74130 numbers up to 74131 share no factor with it.
- 4
The digits of 74131 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
74131 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74132 |
| Euler totient φ(n) | 74130 |
| Square | 5495405161 |
| Cube | 407379879990091 |
| Square root | 272.270086 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4131 × |
74131 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and thirty-one |
| Binary (base 2) | 10010000110010011 |
| Octal (base 8) | 220623 |
| Hexadecimal (base 16) | 12193 |
| Base 3 | 10202200121 |
| As time | 74131 seconds = 20 h 35 min 31 s |
Is 74131 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 1) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 74131 a prime number?
Yes. 74131 is divisible only by 1 and itself.
What are the factors of 74131?
1, 74131.
What is 74131 in binary?
10010000110010011 (hexadecimal 12193, octal 220623).
What is the square root of 74131?
About 272.2701.
Is 74131 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74131?
74131 is the 7312th prime number.