The number 26672
26672 is a composite number with 10 divisors. Its prime factorisation is × 1667. Divisors (10): 1, 2, 4, 8, 16, 1667, 3334, 6668, 13336, 26672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26672 is composite. Its prime factorisation is
- 3
The divisors add up to 51708; without 26672 itself that is 25036, so 26672 is deficient (25036 is less than 26672). Euler's totient φ(26672) = 13328 numbers up to 26672 share no factor with it.
- 4
The digits of 26672 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26672 = 2^{4} \times 1667 \]26672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 51708 |
| Euler totient φ(n) | 13328 |
| Square | 711395584 |
| Cube | 18974343016448 |
| Square root | 163.315645 (= 4√1667) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.6672 × |
26672 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and seventy-two |
| Binary (base 2) | 110100000110000 |
| Octal (base 8) | 64060 |
| Hexadecimal (base 16) | 6830 |
| Base 3 | 1100120212 |
| As time | 26672 seconds = 7 h 24 min 32 s |
Is 26672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26672 ÷ 2 = 13336) | 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 (26672 ÷ 4 = 6668) | 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 2) | 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 (26672 ÷ 8 = 3334) | 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 2) | 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 26672 a prime number?
No. 26672 = × 1667, so it is divisible by 2.
What are the factors of 26672?
1, 2, 4, 8, 16, 1667, 3334, 6668, 13336, 26672.
What is 26672 in binary?
110100000110000 (hexadecimal 6830, octal 64060).
What is the square root of 26672?
About 163.3156, exactly 4√1667.
Is 26672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26672?
26672 is a happy number: repeatedly adding the squares of its digits reaches 1.