The number 76377
76377 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3637. Divisors (8): 1, 3, 7, 21, 3637, 10911, 25459, 76377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76377: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76377 is composite. Its prime factorisation is
- 3
The divisors add up to 116416; without 76377 itself that is 40039, so 76377 is deficient (40039 is less than 76377). Euler's totient φ(76377) = 43632 numbers up to 76377 share no factor with it.
- 4
The digits of 76377 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76377 = 3 \times 7 \times 3637 \]
76377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 116416 |
| Euler totient φ(n) | 43632 |
| Square | 5833446129 |
| Cube | 445541114994633 |
| Square root | 276.363891 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.6377 × |
76377 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and seventy-seven |
| Binary (base 2) | 10010101001011001 |
| Octal (base 8) | 225131 |
| Hexadecimal (base 16) | 12A59 |
| Base 3 | 10212202210 |
| As time | 76377 seconds = 21 h 12 min 57 s |
Is 76377 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 (76377 ÷ 3 = 25459) | 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 | Yes (76377 ÷ 7 = 10911) | 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 3) | 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 76377 a prime number?
No. 76377 = 3 × 7 × 3637, so it is divisible by 3.
What are the factors of 76377?
1, 3, 7, 21, 3637, 10911, 25459, 76377.
What is 76377 in binary?
10010101001011001 (hexadecimal 12A59, octal 225131).
What is the square root of 76377?
About 276.3639.
Is 76377 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76377?
76377 is a happy number: repeatedly adding the squares of its digits reaches 1.