The number 1414
1414 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 101. Divisors (8): 1, 2, 7, 14, 101, 202, 707, 1414.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1414 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1414 is composite. Its prime factorisation is
- 3
The divisors add up to 2448; without 1414 itself that is 1034, so 1414 is deficient (1034 is less than 1414). Euler's totient φ(1414) = 600 numbers up to 1414 share no factor with it.
- 4
The digits of 1414 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1414 = 2 \times 7 \times 101 \]
1414 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2448 |
| Euler totient φ(n) | 600 |
| Square | 1999396 |
| Cube | 2827145944 |
| Square root | 37.603191 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.414 × |
1414 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and fourteen |
| Roman numerals | MCDXIV |
| Binary (base 2) | 10110000110 |
| Octal (base 8) | 2606 |
| Hexadecimal (base 16) | 586 |
| Base 3 | 1221101 |
| As time | 1414 seconds = 23 min 34 s |
Is 1414 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1414 ÷ 2 = 707) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1414 ÷ 7 = 202) | 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 1) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1414 a prime number?
No. 1414 = 2 × 7 × 101, so it is divisible by 2.
What are the factors of 1414?
1, 2, 7, 14, 101, 202, 707, 1414.
What is 1414 in binary?
10110000110 (hexadecimal 586, octal 2606).
What is the square root of 1414?
About 37.6032.
What is 1414 in Roman numerals?
MCDXIV.
Is 1414 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1414?
It is a composite number with 8 divisors.