The number 74241
74241 is a composite number with 12 divisors. Its prime factorisation is × 73 × 113. Divisors (12): 1, 3, 9, 73, 113, 219, 339, 657, 1017, 8249, 24747, 74241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74241: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74241 is composite. Its prime factorisation is
- 3
The divisors add up to 109668; without 74241 itself that is 35427, so 74241 is deficient (35427 is less than 74241). Euler's totient φ(74241) = 48384 numbers up to 74241 share no factor with it.
- 4
The digits of 74241 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74241 = 3^{2} \times 73 \times 113 \]74241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109668 |
| Euler totient φ(n) | 48384 |
| Square | 5511726081 |
| Cube | 409196055979521 |
| Square root | 272.472017 (= 3√8249) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4241 × |
74241 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and forty-one |
| Binary (base 2) | 10010001000000001 |
| Octal (base 8) | 221001 |
| Hexadecimal (base 16) | 12201 |
| Base 3 | 10202211200 |
| As time | 74241 seconds = 20 h 37 min 21 s |
Is 74241 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 | Yes (74241 ÷ 3 = 24747) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74241 ÷ 9 = 8249) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74241 a prime number?
No. 74241 = × 73 × 113, so it is divisible by 3.
What are the factors of 74241?
1, 3, 9, 73, 113, 219, 339, 657, 1017, 8249, 24747, 74241.
What is 74241 in binary?
10010001000000001 (hexadecimal 12201, octal 221001).
What is the square root of 74241?
About 272.4720, exactly 3√8249.
Is 74241 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74241?
74241 is a happy number: repeatedly adding the squares of its digits reaches 1.