The number 1406
1406 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 37. Divisors (8): 1, 2, 19, 37, 38, 74, 703, 1406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1406 is composite. Its prime factorisation is
- 3
The divisors add up to 2280; without 1406 itself that is 874, so 1406 is deficient (874 is less than 1406). Euler's totient φ(1406) = 648 numbers up to 1406 share no factor with it.
- 4
The digits of 1406 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1406 = 2 \times 19 \times 37 \]
1406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2280 |
| Euler totient φ(n) | 648 |
| Square | 1976836 |
| Cube | 2779431416 |
| Square root | 37.496667 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 171 |
| Scientific notation | 1.406 × |
1406 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and six |
| Roman numerals | MCDVI |
| Binary (base 2) | 10101111110 |
| Octal (base 8) | 2576 |
| Hexadecimal (base 16) | 57E |
| Base 3 | 1221002 |
| As time | 1406 seconds = 23 min 26 s |
Is 1406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1406 ÷ 2 = 703) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1406 a prime number?
No. 1406 = 2 × 19 × 37, so it is divisible by 2.
What are the factors of 1406?
1, 2, 19, 37, 38, 74, 703, 1406.
What is 1406 in binary?
10101111110 (hexadecimal 57E, octal 2576).
What is the square root of 1406?
About 37.4967.
What is 1406 in Roman numerals?
MCDVI.
Is 1406 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1406?
It is a composite number with 8 divisors.