The number 72014
72014 is a composite number with 4 divisors. Its prime factorisation is 2 × 36007. Divisors (4): 1, 2, 36007, 72014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72014: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36007, the product of two primes.
- 2
72014 is composite. Its prime factorisation is
- 3
The divisors add up to 108024; without 72014 itself that is 36010, so 72014 is deficient (36010 is less than 72014). Euler's totient φ(72014) = 36006 numbers up to 72014 share no factor with it.
- 4
The digits of 72014 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72014 = 2 \times 36007 \]
72014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 108024 |
| Euler totient φ(n) | 36006 |
| Square | 5186016196 |
| Cube | 373465770338744 |
| Square root | 268.354243 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.2014 × |
72014 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and fourteen |
| Binary (base 2) | 10001100101001110 |
| Octal (base 8) | 214516 |
| Hexadecimal (base 16) | 1194E |
| Base 3 | 10122210012 |
| As time | 72014 seconds = 20 h 0 min 14 s |
Is 72014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72014 ÷ 2 = 36007) | 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 4) | 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 5) | 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 5) | 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 8) | 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 72014 a prime number?
No. 72014 = 2 × 36007, so it is divisible by 2.
What are the factors of 72014?
1, 2, 36007, 72014.
What is 72014 in binary?
10001100101001110 (hexadecimal 1194E, octal 214516).
What is the square root of 72014?
About 268.3542.
Is 72014 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72014?
72014 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36007, the product of two primes.