The number 3777
3777 is a composite number with 4 divisors. Its prime factorisation is 3 × 1259. Divisors (4): 1, 3, 1259, 3777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3777: a semiprime: 3 × 1259, the product of two primes.
- 2
3777 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 3777 itself that is 1263, so 3777 is deficient (1263 is less than 3777). Euler's totient φ(3777) = 2516 numbers up to 3777 share no factor with it.
- 4
The digits of 3777 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3777 = 3 \times 1259 \]
3777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 2516 |
| Square | 14265729 |
| Cube | 53881658433 |
| Square root | 61.457302 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.777 × |
3777 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-seven |
| Roman numerals | MMMDCCLXXVII |
| Binary (base 2) | 111011000001 |
| Octal (base 8) | 7301 |
| Hexadecimal (base 16) | EC1 |
| Base 3 | 12011220 |
| As time | 3777 seconds = 1 h 2 min 57 s |
Is 3777 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 (3777 ÷ 3 = 1259) | 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 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 4) | 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 3777 a prime number?
No. 3777 = 3 × 1259, so it is divisible by 3.
What are the factors of 3777?
1, 3, 1259, 3777.
What is 3777 in binary?
111011000001 (hexadecimal EC1, octal 7301).
What is the square root of 3777?
About 61.4573.
What is 3777 in Roman numerals?
MMMDCCLXXVII.
Is 3777 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3777?
3777 is a semiprime: 3 × 1259, the product of two primes.