The number 16237
16237 is a composite number with 4 divisors. Its prime factorisation is 13 × 1249. Divisors (4): 1, 13, 1249, 16237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16237: a semiprime: 13 × 1249, the product of two primes.
- 2
16237 is composite. Its prime factorisation is
- 3
The divisors add up to 17500; without 16237 itself that is 1263, so 16237 is deficient (1263 is less than 16237). Euler's totient φ(16237) = 14976 numbers up to 16237 share no factor with it.
- 4
The digits of 16237 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16237 = 13 \times 1249 \]
16237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17500 |
| Euler totient φ(n) | 14976 |
| Square | 263640169 |
| Cube | 4280725424053 |
| Square root | 127.424487 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6237 × |
16237 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and thirty-seven |
| Binary (base 2) | 11111101101101 |
| Octal (base 8) | 37555 |
| Hexadecimal (base 16) | 3F6D |
| Base 3 | 211021101 |
| As time | 16237 seconds = 4 h 30 min 37 s |
Is 16237 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 4) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 16237 a prime number?
No. 16237 = 13 × 1249, so it is divisible by 13.
What are the factors of 16237?
1, 13, 1249, 16237.
What is 16237 in binary?
11111101101101 (hexadecimal 3F6D, octal 37555).
What is the square root of 16237?
About 127.4245.
Is 16237 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16237?
16237 is a semiprime: 13 × 1249, the product of two primes.