The number 26724
26724 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 131. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 131, 204, 262, 393, 524 … 26724.
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How to work it out
- 1
What is special about 26724: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26724 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 26724 itself that is 39804, so 26724 is abundant (39804 is more than 26724). Euler's totient φ(26724) = 8320 numbers up to 26724 share no factor with it.
- 4
The digits of 26724 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26724 = 2^{2} \times 3 \times 17 \times 131 \]26724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 8320 |
| Square | 714172176 |
| Cube | 19085537231424 |
| Square root | 163.474769 (= 2√6681) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6724 × |
26724 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and twenty-four |
| Binary (base 2) | 110100001100100 |
| Octal (base 8) | 64144 |
| Hexadecimal (base 16) | 6864 |
| Base 3 | 1100122210 |
| As time | 26724 seconds = 7 h 25 min 24 s |
Is 26724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26724 ÷ 2 = 13362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26724 ÷ 3 = 8908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26724 ÷ 4 = 6681) | 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 | Yes (26724 ÷ 6 = 4454) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 (26724 ÷ 12 = 2227) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26724 a prime number?
No. 26724 = × 3 × 17 × 131, so it is divisible by 2.
What are the factors of 26724?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 131, 204, 262, 393, 524, 786, 1572, 2227, 4454, 6681, 8908, 13362, 26724.
What is 26724 in binary?
110100001100100 (hexadecimal 6864, octal 64144).
What is the square root of 26724?
About 163.4748, exactly 2√6681.
Is 26724 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26724?
26724 is a happy number: repeatedly adding the squares of its digits reaches 1.