The number 74424
74424 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 443. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 74424.
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How to work it out
- 1
What is special about 74424: a Harshad number: divisible by its digit sum 21.
- 2
74424 is composite. Its prime factorisation is
- 3
The divisors add up to 213120; without 74424 itself that is 138696, so 74424 is abundant (138696 is more than 74424). Euler's totient φ(74424) = 21216 numbers up to 74424 share no factor with it.
- 4
The digits of 74424 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74424 = 2^{3} \times 3 \times 7 \times 443 \]74424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 213120 |
| Euler totient φ(n) | 21216 |
| Square | 5538931776 |
| Cube | 412229458497024 |
| Square root | 272.807625 (= 2√18606) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4424 × |
74424 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and twenty-four |
| Binary (base 2) | 10010001010111000 |
| Octal (base 8) | 221270 |
| Hexadecimal (base 16) | 122B8 |
| Base 3 | 10210002110 |
| As time | 74424 seconds = 20 h 40 min 24 s |
Is 74424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74424 ÷ 2 = 37212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74424 ÷ 3 = 24808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74424 ÷ 4 = 18606) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74424 ÷ 6 = 12404) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74424 ÷ 7 = 10632) | 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 | Yes (74424 ÷ 8 = 9303) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74424 ÷ 12 = 6202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74424 a prime number?
No. 74424 = × 3 × 7 × 443, so it is divisible by 2.
What are the factors of 74424?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 443, 886, 1329, 1772, 2658, 3101, 3544, 5316, 6202, 9303, 10632, 12404, 18606, 24808, 37212, 74424.
What is 74424 in binary?
10010001010111000 (hexadecimal 122B8, octal 221270).
What is the square root of 74424?
About 272.8076, exactly 2√18606.
Is 74424 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74424?
74424 is a Harshad number: divisible by its digit sum 21.