The number 74431
74431 is a composite number with 10 divisors. Its prime factorisation is Ć 31. Divisors (10): 1, 7, 31, 49, 217, 343, 1519, 2401, 10633, 74431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74431: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74431 is composite. Its prime factorisation is
- 3
The divisors add up to 89632; without 74431 itself that is 15201, so 74431 is deficient (15201 is less than 74431). Euler's totient Ļ(74431) = 61740 numbers up to 74431 share no factor with it.
- 4
The digits of 74431 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 262 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74431 = 7^{4} \times 31 \]74431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 89632 |
| Euler totient Ļ(n) | 61740 |
| Square | 5539973761 |
| Cube | 412345787004991 |
| Square root | 272.820454 (= 49ā31) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 262 |
| Scientific notation | 7.4431 Ć |
74431 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and thirty-one |
| Binary (base 2) | 10010001010111111 |
| Octal (base 8) | 221277 |
| Hexadecimal (base 16) | 122BF |
| Base 3 | 10210002201 |
| As time | 74431 seconds = 20 h 40 min 31 s |
Is 74431 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 | Yes (74431 Ć· 7 = 10633) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 74431 a prime number?
No. 74431 = Ć 31, so it is divisible by 7.
What are the factors of 74431?
1, 7, 31, 49, 217, 343, 1519, 2401, 10633, 74431.
What is 74431 in binary?
10010001010111111 (hexadecimal 122BF, octal 221277).
What is the square root of 74431?
About 272.8205, exactly 49ā31.
Is 74431 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74431?
74431 is a happy number: repeatedly adding the squares of its digits reaches 1.