The number 74493
74493 is a composite number with 16 divisors. Its prime factorisation is × 31 × 89. Divisors (16): 1, 3, 9, 27, 31, 89, 93, 267, 279, 801, 837, 2403, 2759, 8277, 24831, 74493.
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How to work it out
- 1
What is special about 74493: a Harshad number: divisible by its digit sum 27.
- 2
74493 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 74493 itself that is 40707, so 74493 is deficient (40707 is less than 74493). Euler's totient φ(74493) = 47520 numbers up to 74493 share no factor with it.
- 4
The digits of 74493 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74493 = 3^{3} \times 31 \times 89 \]74493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 47520 |
| Square | 5549207049 |
| Cube | 413377080701157 |
| Square root | 272.934058 (= 3√8277) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4493 × |
74493 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and ninety-three |
| Binary (base 2) | 10010001011111101 |
| Octal (base 8) | 221375 |
| Hexadecimal (base 16) | 122FD |
| Base 3 | 10210012000 |
| As time | 74493 seconds = 20 h 41 min 33 s |
Is 74493 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74493 ÷ 3 = 24831) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74493 ÷ 9 = 8277) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74493 a prime number?
No. 74493 = × 31 × 89, so it is divisible by 3.
What are the factors of 74493?
1, 3, 9, 27, 31, 89, 93, 267, 279, 801, 837, 2403, 2759, 8277, 24831, 74493.
What is 74493 in binary?
10010001011111101 (hexadecimal 122FD, octal 221375).
What is the square root of 74493?
About 272.9341, exactly 3√8277.
Is 74493 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74493?
74493 is a Harshad number: divisible by its digit sum 27.