The number 74420
74420 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220, 3721, 7442, 14884, 18605 … 74420.
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How to work it out
- 1
74420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74420 is composite. Its prime factorisation is
- 3
The divisors add up to 158886; without 74420 itself that is 84466, so 74420 is abundant (84466 is more than 74420). Euler's totient φ(74420) = 29280 numbers up to 74420 share no factor with it.
- 4
The digits of 74420 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74420 = 2^{2} \times 5 \times 61^{2} \]74420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 158886 |
| Euler totient φ(n) | 29280 |
| Square | 5538336400 |
| Cube | 412162994888000 |
| Square root | 272.800293 (= 122√5) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.442 × |
74420 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and twenty |
| Binary (base 2) | 10010001010110100 |
| Octal (base 8) | 221264 |
| Hexadecimal (base 16) | 122B4 |
| Base 3 | 10210002022 |
| As time | 74420 seconds = 20 h 40 min 20 s |
Is 74420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74420 ÷ 2 = 37210) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74420 ÷ 4 = 18605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74420 ÷ 5 = 14884) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74420 ÷ 10 = 7442) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74420 a prime number?
No. 74420 = × 5 × , so it is divisible by 2.
What are the factors of 74420?
1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220, 3721, 7442, 14884, 18605, 37210, 74420.
What is 74420 in binary?
10010001010110100 (hexadecimal 122B4, octal 221264).
What is the square root of 74420?
About 272.8003, exactly 122√5.
Is 74420 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74420?
It is a composite number with 18 divisors.