The number 16264
16264 is a composite number with 16 divisors. Its prime factorisation is × 19 × 107. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 107, 152, 214, 428, 856, 2033, 4066, 8132, 16264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16264: a Harshad number: divisible by its digit sum 19.
- 2
16264 is composite. Its prime factorisation is
- 3
The divisors add up to 32400; without 16264 itself that is 16136, so 16264 is deficient (16136 is less than 16264). Euler's totient φ(16264) = 7632 numbers up to 16264 share no factor with it.
- 4
The digits of 16264 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16264 = 2^{3} \times 19 \times 107 \]16264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32400 |
| Euler totient φ(n) | 7632 |
| Square | 264517696 |
| Cube | 4302115807744 |
| Square root | 127.530389 (= 2√4066) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6264 × |
16264 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and sixty-four |
| Binary (base 2) | 11111110001000 |
| Octal (base 8) | 37610 |
| Hexadecimal (base 16) | 3F88 |
| Base 3 | 211022101 |
| As time | 16264 seconds = 4 h 31 min 4 s |
Is 16264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16264 ÷ 2 = 8132) | 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 | Yes (16264 ÷ 4 = 4066) | 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 4) | 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 | Yes (16264 ÷ 8 = 2033) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16264 a prime number?
No. 16264 = × 19 × 107, so it is divisible by 2.
What are the factors of 16264?
1, 2, 4, 8, 19, 38, 76, 107, 152, 214, 428, 856, 2033, 4066, 8132, 16264.
What is 16264 in binary?
11111110001000 (hexadecimal 3F88, octal 37610).
What is the square root of 16264?
About 127.5304, exactly 2√4066.
Is 16264 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16264?
16264 is a Harshad number: divisible by its digit sum 19.