The number 74010
74010 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2467. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2467, 4934, 7401, 12335, 14802, 24670, 37005, 74010.
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How to work it out
- 1
74010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74010 is composite. Its prime factorisation is
- 3
The divisors add up to 177696; without 74010 itself that is 103686, so 74010 is abundant (103686 is more than 74010). Euler's totient φ(74010) = 19728 numbers up to 74010 share no factor with it.
- 4
The digits of 74010 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74010 = 2 \times 3 \times 5 \times 2467 \]
74010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 177696 |
| Euler totient φ(n) | 19728 |
| Square | 5477480100 |
| Cube | 405388302201000 |
| Square root | 272.047790 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.401 × |
74010 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and ten |
| Binary (base 2) | 10010000100011010 |
| Octal (base 8) | 220432 |
| Hexadecimal (base 16) | 1211A |
| Base 3 | 10202112010 |
| As time | 74010 seconds = 20 h 33 min 30 s |
Is 74010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74010 ÷ 2 = 37005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74010 ÷ 3 = 24670) | 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 | Yes (74010 ÷ 5 = 14802) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74010 ÷ 6 = 12335) | 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 2) | 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 | Yes (74010 ÷ 10 = 7401) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74010 a prime number?
No. 74010 = 2 × 3 × 5 × 2467, so it is divisible by 2.
What are the factors of 74010?
1, 2, 3, 5, 6, 10, 15, 30, 2467, 4934, 7401, 12335, 14802, 24670, 37005, 74010.
What is 74010 in binary?
10010000100011010 (hexadecimal 1211A, octal 220432).
What is the square root of 74010?
About 272.0478.
Is 74010 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 74010?
It is a composite number with 16 divisors.