The number 11676
11676 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 139. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 139, 278, 417, 556 … 11676.
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How to work it out
- 1
What is special about 11676: a Harshad number: divisible by its digit sum 21.
- 2
11676 is composite. Its prime factorisation is
- 3
The divisors add up to 31360; without 11676 itself that is 19684, so 11676 is abundant (19684 is more than 11676). Euler's totient φ(11676) = 3312 numbers up to 11676 share no factor with it.
- 4
The digits of 11676 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11676 = 2^{2} \times 3 \times 7 \times 139 \]11676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31360 |
| Euler totient φ(n) | 3312 |
| Square | 136328976 |
| Cube | 1591777123776 |
| Square root | 108.055541 (= 2√2919) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 218 |
| Scientific notation | 1.1676 × |
11676 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and seventy-six |
| Binary (base 2) | 10110110011100 |
| Octal (base 8) | 26634 |
| Hexadecimal (base 16) | 2D9C |
| Base 3 | 121000110 |
| As time | 11676 seconds = 3 h 14 min 36 s |
Is 11676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11676 ÷ 2 = 5838) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11676 ÷ 3 = 3892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11676 ÷ 4 = 2919) | 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 | Yes (11676 ÷ 6 = 1946) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11676 ÷ 7 = 1668) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11676 ÷ 12 = 973) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11676 a prime number?
No. 11676 = × 3 × 7 × 139, so it is divisible by 2.
What are the factors of 11676?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 139, 278, 417, 556, 834, 973, 1668, 1946, 2919, 3892, 5838, 11676.
What is 11676 in binary?
10110110011100 (hexadecimal 2D9C, octal 26634).
What is the square root of 11676?
About 108.0555, exactly 2√2919.
Is 11676 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 11676?
11676 is a Harshad number: divisible by its digit sum 21.