The number 74132
74132 is a composite number with 12 divisors. Its prime factorisation is × 43 × 431. Divisors (12): 1, 2, 4, 43, 86, 172, 431, 862, 1724, 18533, 37066, 74132.
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How to work it out
- 1
What is special about 74132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74132 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 74132 itself that is 58924, so 74132 is deficient (58924 is less than 74132). Euler's totient φ(74132) = 36120 numbers up to 74132 share no factor with it.
- 4
The digits of 74132 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74132 = 2^{2} \times 43 \times 431 \]74132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 36120 |
| Square | 5495553424 |
| Cube | 407396366427968 |
| Square root | 272.271923 (= 2√18533) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4132 × |
74132 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and thirty-two |
| Binary (base 2) | 10010000110010100 |
| Octal (base 8) | 220624 |
| Hexadecimal (base 16) | 12194 |
| Base 3 | 10202200122 |
| As time | 74132 seconds = 20 h 35 min 32 s |
Is 74132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74132 ÷ 2 = 37066) | 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 (74132 ÷ 4 = 18533) | 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 2) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 74132 a prime number?
No. 74132 = × 43 × 431, so it is divisible by 2.
What are the factors of 74132?
1, 2, 4, 43, 86, 172, 431, 862, 1724, 18533, 37066, 74132.
What is 74132 in binary?
10010000110010100 (hexadecimal 12194, octal 220624).
What is the square root of 74132?
About 272.2719, exactly 2√18533.
Is 74132 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74132?
74132 is a happy number: repeatedly adding the squares of its digits reaches 1.