The number 26977
26977 is a composite number with 4 divisors. Its prime factorisation is 53 × 509. Divisors (4): 1, 53, 509, 26977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26977: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 509, the product of two primes.
- 2
26977 is composite. Its prime factorisation is
- 3
The divisors add up to 27540; without 26977 itself that is 563, so 26977 is deficient (563 is less than 26977). Euler's totient φ(26977) = 26416 numbers up to 26977 share no factor with it.
- 4
The digits of 26977 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 214 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26977 = 53 \times 509 \]
26977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27540 |
| Euler totient φ(n) | 26416 |
| Square | 727758529 |
| Cube | 19632741836833 |
| Square root | 164.246766 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 214 |
| Scientific notation | 2.6977 × |
26977 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and seventy-seven |
| Binary (base 2) | 110100101100001 |
| Octal (base 8) | 64541 |
| Hexadecimal (base 16) | 6961 |
| Base 3 | 1101000011 |
| As time | 26977 seconds = 7 h 29 min 37 s |
Is 26977 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26977 a prime number?
No. 26977 = 53 × 509, so it is divisible by 53.
What are the factors of 26977?
1, 53, 509, 26977.
What is 26977 in binary?
110100101100001 (hexadecimal 6961, octal 64541).
What is the square root of 26977?
About 164.2468.
Is 26977 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 26977?
26977 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 509, the product of two primes.