The number 4470
4470 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 149. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4470: a Harshad number: divisible by its digit sum 15.
- 2
4470 is composite. Its prime factorisation is
- 3
The divisors add up to 10800; without 4470 itself that is 6330, so 4470 is abundant (6330 is more than 4470). Euler's totient φ(4470) = 1184 numbers up to 4470 share no factor with it.
- 4
The digits of 4470 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4470 = 2 \times 3 \times 5 \times 149 \]
4470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10800 |
| Euler totient φ(n) | 1184 |
| Square | 19980900 |
| Cube | 89314623000 |
| Square root | 66.858059 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.47 × |
4470 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and seventy |
| Binary (base 2) | 1000101110110 |
| Octal (base 8) | 10566 |
| Hexadecimal (base 16) | 1176 |
| Base 3 | 20010120 |
| As time | 4470 seconds = 1 h 14 min 30 s |
Is 4470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4470 ÷ 2 = 2235) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4470 ÷ 3 = 1490) | 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 | Yes (4470 ÷ 5 = 894) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4470 ÷ 6 = 745) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4470 ÷ 10 = 447) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 4470 a prime number?
No. 4470 = 2 × 3 × 5 × 149, so it is divisible by 2.
What are the factors of 4470?
1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470.
What is 4470 in binary?
1000101110110 (hexadecimal 1176, octal 10566).
What is the square root of 4470?
About 66.8581.
Is 4470 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4470?
4470 is a Harshad number: divisible by its digit sum 15.