The number 74321
74321 is a composite number with 4 divisors. Its prime factorisation is 13 × 5717. Divisors (4): 1, 13, 5717, 74321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74321: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 5717, the product of two primes.
- 2
74321 is composite. Its prime factorisation is
- 3
The divisors add up to 80052; without 74321 itself that is 5731, so 74321 is deficient (5731 is less than 74321). Euler's totient φ(74321) = 68592 numbers up to 74321 share no factor with it.
- 4
The digits of 74321 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74321 = 13 \times 5717 \]
74321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 80052 |
| Euler totient φ(n) | 68592 |
| Square | 5523611041 |
| Cube | 410520296178161 |
| Square root | 272.618781 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4321 × |
74321 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and twenty-one |
| Binary (base 2) | 10010001001010001 |
| Octal (base 8) | 221121 |
| Hexadecimal (base 16) | 12251 |
| Base 3 | 10202221122 |
| As time | 74321 seconds = 20 h 38 min 41 s |
Is 74321 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 1) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74321 a prime number?
No. 74321 = 13 × 5717, so it is divisible by 13.
What are the factors of 74321?
1, 13, 5717, 74321.
What is 74321 in binary?
10010001001010001 (hexadecimal 12251, octal 221121).
What is the square root of 74321?
About 272.6188.
Is 74321 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74321?
74321 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 5717, the product of two primes.