The number 10077
10077 is a composite number with 4 divisors. Its prime factorisation is 3 × 3359. Divisors (4): 1, 3, 3359, 10077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10077: a semiprime: 3 × 3359, the product of two primes.
- 2
10077 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 10077 itself that is 3363, so 10077 is deficient (3363 is less than 10077). Euler's totient φ(10077) = 6716 numbers up to 10077 share no factor with it.
- 4
The digits of 10077 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10077 = 3 \times 3359 \]
10077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 6716 |
| Square | 101545929 |
| Cube | 1023278326533 |
| Square root | 100.384262 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0077 × |
10077 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventy-seven |
| Binary (base 2) | 10011101011101 |
| Octal (base 8) | 23535 |
| Hexadecimal (base 16) | 275D |
| Base 3 | 111211020 |
| As time | 10077 seconds = 2 h 47 min 57 s |
Is 10077 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 (10077 ÷ 3 = 3359) | 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 4) | 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 5) | 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 1) | 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 10077 a prime number?
No. 10077 = 3 × 3359, so it is divisible by 3.
What are the factors of 10077?
1, 3, 3359, 10077.
What is 10077 in binary?
10011101011101 (hexadecimal 275D, octal 23535).
What is the square root of 10077?
About 100.3843.
Is 10077 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10077?
10077 is a semiprime: 3 × 3359, the product of two primes.