The number 74412
74412 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 53. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 53, 54 … 74412.
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How to work it out
- 1
What is special about 74412: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
74412 is composite. Its prime factorisation is
- 3
The divisors add up to 211680; without 74412 itself that is 137268, so 74412 is abundant (137268 is more than 74412). Euler's totient φ(74412) = 22464 numbers up to 74412 share no factor with it.
- 4
The digits of 74412 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74412 = 2^{2} \times 3^{3} \times 13 \times 53 \]74412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 211680 |
| Euler totient φ(n) | 22464 |
| Square | 5537145744 |
| Cube | 412030089102528 |
| Square root | 272.785630 (= 6√2067) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4412 × |
74412 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and twelve |
| Binary (base 2) | 10010001010101100 |
| Octal (base 8) | 221254 |
| Hexadecimal (base 16) | 122AC |
| Base 3 | 10210002000 |
| As time | 74412 seconds = 20 h 40 min 12 s |
Is 74412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74412 ÷ 2 = 37206) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74412 ÷ 3 = 24804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74412 ÷ 4 = 18603) | 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 | Yes (74412 ÷ 6 = 12402) | 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 | Yes (74412 ÷ 9 = 8268) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74412 ÷ 12 = 6201) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74412 a prime number?
No. 74412 = × × 13 × 53, so it is divisible by 2.
What are the factors of 74412?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 53, 54, 78, 106, 108, 117, 156, 159, 212, 234, 318, 351, 468, 477, 636, 689, 702, 954, 1378, 1404, 1431, 1908, 2067, 2756, 2862, 4134, 5724, 6201, 8268, 12402, 18603, 24804, 37206, 74412.
What is 74412 in binary?
10010001010101100 (hexadecimal 122AC, octal 221254).
What is the square root of 74412?
About 272.7856, exactly 6√2067.
Is 74412 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74412?
74412 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.