The number 74007
74007 is a composite number with 8 divisors. Its prime factorisation is × 2741. Divisors (8): 1, 3, 9, 27, 2741, 8223, 24669, 74007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74007 is composite. Its prime factorisation is
- 3
The divisors add up to 109680; without 74007 itself that is 35673, so 74007 is deficient (35673 is less than 74007). Euler's totient φ(74007) = 49320 numbers up to 74007 share no factor with it.
- 4
The digits of 74007 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74007 = 3^{3} \times 2741 \]74007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109680 |
| Euler totient φ(n) | 49320 |
| Square | 5477036049 |
| Cube | 405339006878343 |
| Square root | 272.042276 (= 3√8223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 7.4007 × |
74007 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and seven |
| Binary (base 2) | 10010000100010111 |
| Octal (base 8) | 220427 |
| Hexadecimal (base 16) | 12117 |
| Base 3 | 10202112000 |
| As time | 74007 seconds = 20 h 33 min 27 s |
Is 74007 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 (74007 ÷ 3 = 24669) | 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 2) | 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 3) | 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 | Yes (74007 ÷ 9 = 8223) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74007 a prime number?
No. 74007 = × 2741, so it is divisible by 3.
What are the factors of 74007?
1, 3, 9, 27, 2741, 8223, 24669, 74007.
What is 74007 in binary?
10010000100010111 (hexadecimal 12117, octal 220427).
What is the square root of 74007?
About 272.0423, exactly 3√8223.
Is 74007 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74007?
It is a composite number with 8 divisors.