The number 10977
10977 is a composite number with 4 divisors. Its prime factorisation is 3 × 3659. Divisors (4): 1, 3, 3659, 10977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10977: a semiprime: 3 × 3659, the product of two primes.
- 2
10977 is composite. Its prime factorisation is
- 3
The divisors add up to 14640; without 10977 itself that is 3663, so 10977 is deficient (3663 is less than 10977). Euler's totient φ(10977) = 7316 numbers up to 10977 share no factor with it.
- 4
The digits of 10977 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10977 = 3 \times 3659 \]
10977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14640 |
| Euler totient φ(n) | 7316 |
| Square | 120494529 |
| Cube | 1322668444833 |
| Square root | 104.771179 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0977 × |
10977 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and seventy-seven |
| Binary (base 2) | 10101011100001 |
| Octal (base 8) | 25341 |
| Hexadecimal (base 16) | 2AE1 |
| Base 3 | 120001120 |
| As time | 10977 seconds = 3 h 2 min 57 s |
Is 10977 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 | Yes (10977 ÷ 3 = 3659) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10977 a prime number?
No. 10977 = 3 × 3659, so it is divisible by 3.
What are the factors of 10977?
1, 3, 3659, 10977.
What is 10977 in binary?
10101011100001 (hexadecimal 2AE1, octal 25341).
What is the square root of 10977?
About 104.7712.
Is 10977 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 10977?
10977 is a semiprime: 3 × 3659, the product of two primes.