The number 14737
14737 is the 1725th prime number. Its only divisors are 1 and 14737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14737: the 1725th prime number.
- 2
14737 is prime, so its only factors are 1 and 14737. It is the 1725th prime; the next prime is 14741 and the one before is 14731.
- 3
The divisors add up to 14738; without 14737 itself that is 1, so 14737 is deficient (1 is less than 14737). Euler's totient φ(14737) = 14736 numbers up to 14737 share no factor with it.
- 4
The digits of 14737 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
14737 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14738 |
| Euler totient φ(n) | 14736 |
| Square | 217179169 |
| Cube | 3200569413553 |
| Square root | 121.396046 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.4737 × |
14737 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and thirty-seven |
| Binary (base 2) | 11100110010001 |
| Octal (base 8) | 34621 |
| Hexadecimal (base 16) | 3991 |
| Base 3 | 202012211 |
| As time | 14737 seconds = 4 h 5 min 37 s |
Is 14737 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14737 a prime number?
Yes. 14737 is divisible only by 1 and itself.
What are the factors of 14737?
1, 14737.
What is 14737 in binary?
11100110010001 (hexadecimal 3991, octal 34621).
What is the square root of 14737?
About 121.3960.
Is 14737 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 14737?
14737 is the 1725th prime number.