The number 74442
74442 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 653. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 653, 1306, 1959, 3918, 12407, 24814, 37221, 74442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74442 is composite. Its prime factorisation is
- 3
The divisors add up to 156960; without 74442 itself that is 82518, so 74442 is abundant (82518 is more than 74442). Euler's totient φ(74442) = 23472 numbers up to 74442 share no factor with it.
- 4
The digits of 74442 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74442 = 2 \times 3 \times 19 \times 653 \]
74442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156960 |
| Euler totient φ(n) | 23472 |
| Square | 5541611364 |
| Cube | 412528633158888 |
| Square root | 272.840613 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4442 × |
74442 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and forty-two |
| Binary (base 2) | 10010001011001010 |
| Octal (base 8) | 221312 |
| Hexadecimal (base 16) | 122CA |
| Base 3 | 10210010010 |
| As time | 74442 seconds = 20 h 40 min 42 s |
Is 74442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74442 ÷ 2 = 37221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74442 ÷ 3 = 24814) | 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 (74442 ÷ 6 = 12407) | 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 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 | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74442 a prime number?
No. 74442 = 2 × 3 × 19 × 653, so it is divisible by 2.
What are the factors of 74442?
1, 2, 3, 6, 19, 38, 57, 114, 653, 1306, 1959, 3918, 12407, 24814, 37221, 74442.
What is 74442 in binary?
10010001011001010 (hexadecimal 122CA, octal 221312).
What is the square root of 74442?
About 272.8406.
Is 74442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74442?
It is a composite number with 16 divisors.