The number 1014
1014 is a composite number with 12 divisors. Its prime factorisation is 2 × 3 × . Divisors (12): 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1014: a Harshad number: divisible by its digit sum 6.
- 2
1014 is composite. Its prime factorisation is
- 3
The divisors add up to 2196; without 1014 itself that is 1182, so 1014 is abundant (1182 is more than 1014). Euler's totient φ(1014) = 312 numbers up to 1014 share no factor with it.
- 4
The digits of 1014 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1014 = 2 \times 3 \times 13^{2} \]1014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2196 |
| Euler totient φ(n) | 312 |
| Square | 1028196 |
| Cube | 1042590744 |
| Square root | 31.843367 (= 13√6) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 1.014 × |
1014 in other forms
| Form | Value |
|---|---|
| In words | one thousand and fourteen |
| Roman numerals | MXIV |
| Binary (base 2) | 1111110110 |
| Octal (base 8) | 1766 |
| Hexadecimal (base 16) | 3F6 |
| Base 3 | 1101120 |
| As time | 1014 seconds = 16 min 54 s |
Is 1014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1014 ÷ 2 = 507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1014 ÷ 3 = 338) | 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 | Yes (1014 ÷ 6 = 169) | 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 6) | 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 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 1014 a prime number?
No. 1014 = 2 × 3 × , so it is divisible by 2.
What are the factors of 1014?
1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014.
What is 1014 in binary?
1111110110 (hexadecimal 3F6, octal 1766).
What is the square root of 1014?
About 31.8434, exactly 13√6.
What is 1014 in Roman numerals?
MXIV.
Is 1014 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1014?
1014 is a Harshad number: divisible by its digit sum 6.