The number 11672
11672 is a composite number with 8 divisors. Its prime factorisation is × 1459. Divisors (8): 1, 2, 4, 8, 1459, 2918, 5836, 11672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11672 is composite. Its prime factorisation is
- 3
The divisors add up to 21900; without 11672 itself that is 10228, so 11672 is deficient (10228 is less than 11672). Euler's totient φ(11672) = 5832 numbers up to 11672 share no factor with it.
- 4
The digits of 11672 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11672 = 2^{3} \times 1459 \]11672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21900 |
| Euler totient φ(n) | 5832 |
| Square | 136235584 |
| Cube | 1590141736448 |
| Square root | 108.037031 (= 2√2918) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1672 × |
11672 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and seventy-two |
| Binary (base 2) | 10110110011000 |
| Octal (base 8) | 26630 |
| Hexadecimal (base 16) | 2D98 |
| Base 3 | 121000022 |
| As time | 11672 seconds = 3 h 14 min 32 s |
Is 11672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11672 ÷ 2 = 5836) | 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 (11672 ÷ 4 = 2918) | 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 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 (11672 ÷ 8 = 1459) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11672 a prime number?
No. 11672 = × 1459, so it is divisible by 2.
What are the factors of 11672?
1, 2, 4, 8, 1459, 2918, 5836, 11672.
What is 11672 in binary?
10110110011000 (hexadecimal 2D98, octal 26630).
What is the square root of 11672?
About 108.0370, exactly 2√2918.
Is 11672 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 11672?
11672 is a happy number: repeatedly adding the squares of its digits reaches 1.