The number 74001
74001 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 1451. Divisors (8): 1, 3, 17, 51, 1451, 4353, 24667, 74001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74001 is composite. Its prime factorisation is
- 3
The divisors add up to 104544; without 74001 itself that is 30543, so 74001 is deficient (30543 is less than 74001). Euler's totient φ(74001) = 46400 numbers up to 74001 share no factor with it.
- 4
The digits of 74001 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74001 = 3 \times 17 \times 1451 \]
74001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104544 |
| Euler totient φ(n) | 46400 |
| Square | 5476148001 |
| Cube | 405240428222001 |
| Square root | 272.031248 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4001 × |
74001 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and one |
| Binary (base 2) | 10010000100010001 |
| Octal (base 8) | 220421 |
| Hexadecimal (base 16) | 12111 |
| Base 3 | 10202111210 |
| As time | 74001 seconds = 20 h 33 min 21 s |
Is 74001 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 (74001 ÷ 3 = 24667) | 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 4) | 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 3) | 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 4) | 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 74001 a prime number?
No. 74001 = 3 × 17 × 1451, so it is divisible by 3.
What are the factors of 74001?
1, 3, 17, 51, 1451, 4353, 24667, 74001.
What is 74001 in binary?
10010000100010001 (hexadecimal 12111, octal 220421).
What is the square root of 74001?
About 272.0312.
Is 74001 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 74001?
It is a composite number with 8 divisors.