The number 74732
74732 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 157. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 157, 238, 314, 476, 628, 1099 … 74732.
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How to work it out
- 1
74732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74732 is composite. Its prime factorisation is
- 3
The divisors add up to 159264; without 74732 itself that is 84532, so 74732 is abundant (84532 is more than 74732). Euler's totient φ(74732) = 29952 numbers up to 74732 share no factor with it.
- 4
The digits of 74732 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74732 = 2^{2} \times 7 \times 17 \times 157 \]74732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 159264 |
| Euler totient φ(n) | 29952 |
| Square | 5584871824 |
| Cube | 417368641151168 |
| Square root | 273.371542 (= 2√18683) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.4732 × |
74732 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and thirty-two |
| Binary (base 2) | 10010001111101100 |
| Octal (base 8) | 221754 |
| Hexadecimal (base 16) | 123EC |
| Base 3 | 10210111212 |
| As time | 74732 seconds = 20 h 45 min 32 s |
Is 74732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74732 ÷ 2 = 37366) | 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 (74732 ÷ 4 = 18683) | 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 | Yes (74732 ÷ 7 = 10676) | 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 5) | 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 9) | 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 74732 a prime number?
No. 74732 = × 7 × 17 × 157, so it is divisible by 2.
What are the factors of 74732?
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 157, 238, 314, 476, 628, 1099, 2198, 2669, 4396, 5338, 10676, 18683, 37366, 74732.
What is 74732 in binary?
10010001111101100 (hexadecimal 123EC, octal 221754).
What is the square root of 74732?
About 273.3715, exactly 2√18683.
Is 74732 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74732?
It is a composite number with 24 divisors.