The number 26946
26946 is a composite number with 16 divisors. Its prime factorisation is 2 × × 499. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26946: a Harshad number: divisible by its digit sum 27.
- 2
26946 is composite. Its prime factorisation is
- 3
The divisors add up to 60000; without 26946 itself that is 33054, so 26946 is abundant (33054 is more than 26946). Euler's totient φ(26946) = 8964 numbers up to 26946 share no factor with it.
- 4
The digits of 26946 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26946 = 2 \times 3^{3} \times 499 \]26946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60000 |
| Euler totient φ(n) | 8964 |
| Square | 726086916 |
| Cube | 19565138038536 |
| Square root | 164.152368 (= 3√2994) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6946 × |
26946 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and forty-six |
| Binary (base 2) | 110100101000010 |
| Octal (base 8) | 64502 |
| Hexadecimal (base 16) | 6942 |
| Base 3 | 1100222000 |
| As time | 26946 seconds = 7 h 29 min 6 s |
Is 26946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26946 ÷ 2 = 13473) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26946 ÷ 3 = 8982) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (26946 ÷ 6 = 4491) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26946 ÷ 9 = 2994) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26946 a prime number?
No. 26946 = 2 × × 499, so it is divisible by 2.
What are the factors of 26946?
1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946.
What is 26946 in binary?
110100101000010 (hexadecimal 6942, octal 64502).
What is the square root of 26946?
About 164.1524, exactly 3√2994.
Is 26946 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26946?
26946 is a Harshad number: divisible by its digit sum 27.