The number 1410
1410 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 47. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1410: a Harshad number: divisible by its digit sum 6.
- 2
1410 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 1410 itself that is 2046, so 1410 is abundant (2046 is more than 1410). Euler's totient φ(1410) = 368 numbers up to 1410 share no factor with it.
- 4
The digits of 1410 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1410 = 2 \times 3 \times 5 \times 47 \]
1410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 368 |
| Square | 1988100 |
| Cube | 2803221000 |
| Square root | 37.549967 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.41 × |
1410 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and ten |
| Roman numerals | MCDX |
| Binary (base 2) | 10110000010 |
| Octal (base 8) | 2602 |
| Hexadecimal (base 16) | 582 |
| Base 3 | 1221020 |
| As time | 1410 seconds = 23 min 30 s |
Is 1410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1410 ÷ 2 = 705) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1410 ÷ 3 = 470) | 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 (1410 ÷ 5 = 282) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1410 ÷ 6 = 235) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 (1410 ÷ 10 = 141) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 1410 a prime number?
No. 1410 = 2 × 3 × 5 × 47, so it is divisible by 2.
What are the factors of 1410?
1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410.
What is 1410 in binary?
10110000010 (hexadecimal 582, octal 2602).
What is the square root of 1410?
About 37.5500.
What is 1410 in Roman numerals?
MCDX.
Is 1410 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1410?
1410 is a Harshad number: divisible by its digit sum 6.