The number 74143
74143 is the 7313th prime number. Its only divisors are 1 and 74143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74143: the 7313th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74143 is prime, so its only factors are 1 and 74143. It is the 7313th prime; the next prime is 74149 and the one before is 74131.
- 3
The divisors add up to 74144; without 74143 itself that is 1, so 74143 is deficient (1 is less than 74143). Euler's totient φ(74143) = 74142 numbers up to 74143 share no factor with it.
- 4
The digits of 74143 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
74143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74144 |
| Euler totient φ(n) | 74142 |
| Square | 5497184449 |
| Cube | 407577746602207 |
| Square root | 272.292123 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4143 × |
74143 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and forty-three |
| Binary (base 2) | 10010000110011111 |
| Octal (base 8) | 220637 |
| Hexadecimal (base 16) | 1219F |
| Base 3 | 10202201001 |
| As time | 74143 seconds = 20 h 35 min 43 s |
Is 74143 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 3) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 74143 a prime number?
Yes. 74143 is divisible only by 1 and itself.
What are the factors of 74143?
1, 74143.
What is 74143 in binary?
10010000110011111 (hexadecimal 1219F, octal 220637).
What is the square root of 74143?
About 272.2921.
Is 74143 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74143?
74143 is the 7313th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.