The number 12377
12377 is a twin prime (12377 and 12379 are both prime) and the 1477th prime number. Its only divisors are 1 and 12377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12377: a twin prime (12377 and 12379 are both prime); the 1477th prime number.
- 2
12377 is prime, so its only factors are 1 and 12377. It is the 1477th prime; the next prime is 12379 and the one before is 12373.
- 3
The divisors add up to 12378; without 12377 itself that is 1, so 12377 is deficient (1 is less than 12377). Euler's totient φ(12377) = 12376 numbers up to 12377 share no factor with it.
- 4
The digits of 12377 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
12377 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12378 |
| Euler totient φ(n) | 12376 |
| Square | 153190129 |
| Cube | 1896034226633 |
| Square root | 111.251966 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2377 × |
12377 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand three hundred and seventy-seven |
| Binary (base 2) | 11000001011001 |
| Octal (base 8) | 30131 |
| Hexadecimal (base 16) | 3059 |
| Base 3 | 121222102 |
| As time | 12377 seconds = 3 h 26 min 17 s |
Is 12377 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 2) | 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 5) | 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 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12377 a prime number?
Yes. 12377 is divisible only by 1 and itself.
What are the factors of 12377?
1, 12377.
What is 12377 in binary?
11000001011001 (hexadecimal 3059, octal 30131).
What is the square root of 12377?
About 111.2520.
Is 12377 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 12377?
12377 is a twin prime (12377 and 12379 are both prime); the 1477th prime number.