The number 74002
74002 is a composite number with 8 divisors. Its prime factorisation is 2 × 163 × 227. Divisors (8): 1, 2, 163, 227, 326, 454, 37001, 74002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74002 is composite. Its prime factorisation is
- 3
The divisors add up to 112176; without 74002 itself that is 38174, so 74002 is deficient (38174 is less than 74002). Euler's totient φ(74002) = 36612 numbers up to 74002 share no factor with it.
- 4
The digits of 74002 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74002 = 2 \times 163 \times 227 \]
74002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112176 |
| Euler totient φ(n) | 36612 |
| Square | 5476296004 |
| Cube | 405256856888008 |
| Square root | 272.033086 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4002 × |
74002 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and two |
| Binary (base 2) | 10010000100010010 |
| Octal (base 8) | 220422 |
| Hexadecimal (base 16) | 12112 |
| Base 3 | 10202111211 |
| As time | 74002 seconds = 20 h 33 min 22 s |
Is 74002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74002 ÷ 2 = 37001) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74002 a prime number?
No. 74002 = 2 × 163 × 227, so it is divisible by 2.
What are the factors of 74002?
1, 2, 163, 227, 326, 454, 37001, 74002.
What is 74002 in binary?
10010000100010010 (hexadecimal 12112, octal 220422).
What is the square root of 74002?
About 272.0331.
Is 74002 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 74002?
It is a composite number with 8 divisors.