The number 1470
1470 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × 5 × . Divisors (24): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98 … 1470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1470 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1470 is composite. Its prime factorisation is
- 3
The divisors add up to 4104; without 1470 itself that is 2634, so 1470 is abundant (2634 is more than 1470). Euler's totient φ(1470) = 336 numbers up to 1470 share no factor with it.
- 4
The digits of 1470 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1470 = 2 \times 3 \times 5 \times 7^{2} \]1470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 4104 |
| Euler totient φ(n) | 336 |
| Square | 2160900 |
| Cube | 3176523000 |
| Square root | 38.340579 (= 7√30) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.47 × |
1470 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and seventy |
| Roman numerals | MCDLXX |
| Binary (base 2) | 10110111110 |
| Octal (base 8) | 2676 |
| Hexadecimal (base 16) | 5BE |
| Base 3 | 2000110 |
| As time | 1470 seconds = 24 min 30 s |
Is 1470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1470 ÷ 2 = 735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1470 ÷ 3 = 490) | 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 (1470 ÷ 5 = 294) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1470 ÷ 6 = 245) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1470 ÷ 7 = 210) | 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 | Yes (1470 ÷ 10 = 147) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1470 a prime number?
No. 1470 = 2 × 3 × 5 × , so it is divisible by 2.
What are the factors of 1470?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470.
What is 1470 in binary?
10110111110 (hexadecimal 5BE, octal 2676).
What is the square root of 1470?
About 38.3406, exactly 7√30.
What is 1470 in Roman numerals?
MCDLXX.
Is 1470 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1470?
It is a composite number with 24 divisors.