The number 14010
14010 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 467. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 467, 934, 1401, 2335, 2802, 4670, 7005, 14010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14010: a Harshad number: divisible by its digit sum 6.
- 2
14010 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 14010 itself that is 19686, so 14010 is abundant (19686 is more than 14010). Euler's totient φ(14010) = 3728 numbers up to 14010 share no factor with it.
- 4
The digits of 14010 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14010 = 2 \times 3 \times 5 \times 467 \]
14010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 3728 |
| Square | 196280100 |
| Cube | 2749884201000 |
| Square root | 118.363846 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.401 × |
14010 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and ten |
| Binary (base 2) | 11011010111010 |
| Octal (base 8) | 33272 |
| Hexadecimal (base 16) | 36BA |
| Base 3 | 201012220 |
| As time | 14010 seconds = 3 h 53 min 30 s |
Is 14010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14010 ÷ 2 = 7005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14010 ÷ 3 = 4670) | 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 (14010 ÷ 5 = 2802) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14010 ÷ 6 = 2335) | 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 (14010 ÷ 10 = 1401) | 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 14010 a prime number?
No. 14010 = 2 × 3 × 5 × 467, so it is divisible by 2.
What are the factors of 14010?
1, 2, 3, 5, 6, 10, 15, 30, 467, 934, 1401, 2335, 2802, 4670, 7005, 14010.
What is 14010 in binary?
11011010111010 (hexadecimal 36BA, octal 33272).
What is the square root of 14010?
About 118.3638.
Is 14010 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 14010?
14010 is a Harshad number: divisible by its digit sum 6.