The number 4494
4494 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 107. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494.
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How to work it out
- 1
What is special about 4494: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
4494 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 4494 itself that is 5874, so 4494 is abundant (5874 is more than 4494). Euler's totient φ(4494) = 1272 numbers up to 4494 share no factor with it.
- 4
The digits of 4494 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4494 = 2 \times 3 \times 7 \times 107 \]
4494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 1272 |
| Square | 20196036 |
| Cube | 90760985784 |
| Square root | 67.037303 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.494 × |
4494 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and ninety-four |
| Binary (base 2) | 1000110001110 |
| Octal (base 8) | 10616 |
| Hexadecimal (base 16) | 118E |
| Base 3 | 20011110 |
| As time | 4494 seconds = 1 h 14 min 54 s |
Is 4494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4494 ÷ 2 = 2247) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4494 ÷ 3 = 1498) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (4494 ÷ 6 = 749) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4494 ÷ 7 = 642) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4494 a prime number?
No. 4494 = 2 × 3 × 7 × 107, so it is divisible by 2.
What are the factors of 4494?
1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494.
What is 4494 in binary?
1000110001110 (hexadecimal 118E, octal 10616).
What is the square root of 4494?
About 67.0373.
Is 4494 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4494?
4494 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.