The number 16376
16376 is a composite number with 16 divisors. Its prime factorisation is × 23 × 89. Divisors (16): 1, 2, 4, 8, 23, 46, 89, 92, 178, 184, 356, 712, 2047, 4094, 8188, 16376.
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How to work it out
- 1
What is special about 16376: a Harshad number: divisible by its digit sum 23.
- 2
16376 is composite. Its prime factorisation is
- 3
The divisors add up to 32400; without 16376 itself that is 16024, so 16376 is deficient (16024 is less than 16376). Euler's totient φ(16376) = 7744 numbers up to 16376 share no factor with it.
- 4
The digits of 16376 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16376 = 2^{3} \times 23 \times 89 \]16376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32400 |
| Euler totient φ(n) | 7744 |
| Square | 268173376 |
| Cube | 4391607205376 |
| Square root | 127.968746 (= 2√4094) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6376 × |
16376 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and seventy-six |
| Binary (base 2) | 11111111111000 |
| Octal (base 8) | 37770 |
| Hexadecimal (base 16) | 3FF8 |
| Base 3 | 211110112 |
| As time | 16376 seconds = 4 h 32 min 56 s |
Is 16376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16376 ÷ 2 = 8188) | 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 | Yes (16376 ÷ 4 = 4094) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 (16376 ÷ 8 = 2047) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16376 a prime number?
No. 16376 = × 23 × 89, so it is divisible by 2.
What are the factors of 16376?
1, 2, 4, 8, 23, 46, 89, 92, 178, 184, 356, 712, 2047, 4094, 8188, 16376.
What is 16376 in binary?
11111111111000 (hexadecimal 3FF8, octal 37770).
What is the square root of 16376?
About 127.9687, exactly 2√4094.
Is 16376 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16376?
16376 is a Harshad number: divisible by its digit sum 23.