The number 30744
30744 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 61. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 30744.
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How to work it out
- 1
What is special about 30744: a Harshad number: divisible by its digit sum 18.
- 2
30744 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 30744 itself that is 65976, so 30744 is abundant (65976 is more than 30744). Euler's totient φ(30744) = 8640 numbers up to 30744 share no factor with it.
- 4
The digits of 30744 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30744 = 2^{3} \times 3^{2} \times 7 \times 61 \]30744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 8640 |
| Square | 945193536 |
| Cube | 29059030070784 |
| Square root | 175.339670 (= 6√854) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.0744 × |
30744 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand seven hundred and forty-four |
| Binary (base 2) | 111100000011000 |
| Octal (base 8) | 74030 |
| Hexadecimal (base 16) | 7818 |
| Base 3 | 1120011200 |
| As time | 30744 seconds = 8 h 32 min 24 s |
Is 30744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30744 ÷ 2 = 15372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30744 ÷ 3 = 10248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30744 ÷ 4 = 7686) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30744 ÷ 6 = 5124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (30744 ÷ 7 = 4392) | 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 (30744 ÷ 8 = 3843) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30744 ÷ 9 = 3416) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (30744 ÷ 12 = 2562) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30744 a prime number?
No. 30744 = × × 7 × 61, so it is divisible by 2.
What are the factors of 30744?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 122, 126, 168, 183, 244, 252, 366, 427, 488, 504, 549, 732, 854, 1098, 1281, 1464, 1708, 2196, 2562, 3416, 3843, 4392, 5124, 7686, 10248, 15372, 30744.
What is 30744 in binary?
111100000011000 (hexadecimal 7818, octal 74030).
What is the square root of 30744?
About 175.3397, exactly 6√854.
Is 30744 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 30744?
30744 is a Harshad number: divisible by its digit sum 18.