The number 74742
74742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12457. Divisors (8): 1, 2, 3, 6, 12457, 24914, 37371, 74742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74742 is composite. Its prime factorisation is
- 3
The divisors add up to 149496; without 74742 itself that is 74754, so 74742 is abundant (74754 is more than 74742). Euler's totient φ(74742) = 24912 numbers up to 74742 share no factor with it.
- 4
The digits of 74742 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74742 = 2 \times 3 \times 12457 \]
74742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 149496 |
| Euler totient φ(n) | 24912 |
| Square | 5586366564 |
| Cube | 417536209726488 |
| Square root | 273.389832 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4742 × |
74742 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and forty-two |
| Binary (base 2) | 10010001111110110 |
| Octal (base 8) | 221766 |
| Hexadecimal (base 16) | 123F6 |
| Base 3 | 10210112020 |
| As time | 74742 seconds = 20 h 45 min 42 s |
Is 74742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74742 ÷ 2 = 37371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74742 ÷ 3 = 24914) | 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 | Yes (74742 ÷ 6 = 12457) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | 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 74742 a prime number?
No. 74742 = 2 × 3 × 12457, so it is divisible by 2.
What are the factors of 74742?
1, 2, 3, 6, 12457, 24914, 37371, 74742.
What is 74742 in binary?
10010001111110110 (hexadecimal 123F6, octal 221766).
What is the square root of 74742?
About 273.3898.
Is 74742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74742?
It is a composite number with 8 divisors.