The number 74432
74432 is a composite number with 14 divisors. Its prime factorisation is × 1163. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1163, 2326, 4652, 9304, 18608, 37216, 74432.
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How to work it out
- 1
What is special about 74432: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74432 is composite. Its prime factorisation is
- 3
The divisors add up to 147828; without 74432 itself that is 73396, so 74432 is deficient (73396 is less than 74432). Euler's totient φ(74432) = 37184 numbers up to 74432 share no factor with it.
- 4
The digits of 74432 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74432 = 2^{6} \times 1163 \]74432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 147828 |
| Euler totient φ(n) | 37184 |
| Square | 5540122624 |
| Cube | 412362407149568 |
| Square root | 272.822286 (= 8√1163) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4432 × |
74432 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and thirty-two |
| Binary (base 2) | 10010001011000000 |
| Octal (base 8) | 221300 |
| Hexadecimal (base 16) | 122C0 |
| Base 3 | 10210002202 |
| As time | 74432 seconds = 20 h 40 min 32 s |
Is 74432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74432 ÷ 2 = 37216) | 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 (74432 ÷ 4 = 18608) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (74432 ÷ 8 = 9304) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 74432 a prime number?
No. 74432 = × 1163, so it is divisible by 2.
What are the factors of 74432?
1, 2, 4, 8, 16, 32, 64, 1163, 2326, 4652, 9304, 18608, 37216, 74432.
What is 74432 in binary?
10010001011000000 (hexadecimal 122C0, octal 221300).
What is the square root of 74432?
About 272.8223, exactly 8√1163.
Is 74432 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74432?
74432 is a happy number: repeatedly adding the squares of its digits reaches 1.