The number 16507
16507 is a composite number with 4 divisors. Its prime factorisation is 17 × 971. Divisors (4): 1, 17, 971, 16507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16507: a semiprime: 17 × 971, the product of two primes.
- 2
16507 is composite. Its prime factorisation is
- 3
The divisors add up to 17496; without 16507 itself that is 989, so 16507 is deficient (989 is less than 16507). Euler's totient φ(16507) = 15520 numbers up to 16507 share no factor with it.
- 4
The digits of 16507 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16507 = 17 \times 971 \]
16507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17496 |
| Euler totient φ(n) | 15520 |
| Square | 272481049 |
| Cube | 4497844675843 |
| Square root | 128.479570 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6507 × |
16507 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and seven |
| Binary (base 2) | 100000001111011 |
| Octal (base 8) | 40173 |
| Hexadecimal (base 16) | 407B |
| Base 3 | 211122101 |
| As time | 16507 seconds = 4 h 35 min 7 s |
Is 16507 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 3) | 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 1) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16507 a prime number?
No. 16507 = 17 × 971, so it is divisible by 17.
What are the factors of 16507?
1, 17, 971, 16507.
What is 16507 in binary?
100000001111011 (hexadecimal 407B, octal 40173).
What is the square root of 16507?
About 128.4796.
Is 16507 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16507?
16507 is a semiprime: 17 × 971, the product of two primes.