The number 31377
31377 is a composite number with 4 divisors. Its prime factorisation is 3 × 10459. Divisors (4): 1, 3, 10459, 31377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31377: a semiprime: 3 × 10459, the product of two primes.
- 2
31377 is composite. Its prime factorisation is
- 3
The divisors add up to 41840; without 31377 itself that is 10463, so 31377 is deficient (10463 is less than 31377). Euler's totient φ(31377) = 20916 numbers up to 31377 share no factor with it.
- 4
The digits of 31377 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31377 = 3 \times 10459 \]
31377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41840 |
| Euler totient φ(n) | 20916 |
| Square | 984516129 |
| Cube | 30891162579633 |
| Square root | 177.135541 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1377 × |
31377 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy-seven |
| Binary (base 2) | 111101010010001 |
| Octal (base 8) | 75221 |
| Hexadecimal (base 16) | 7A91 |
| Base 3 | 1121001010 |
| As time | 31377 seconds = 8 h 42 min 57 s |
Is 31377 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 (31377 ÷ 3 = 10459) | 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 3) | 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 5) | 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 31377 a prime number?
No. 31377 = 3 × 10459, so it is divisible by 3.
What are the factors of 31377?
1, 3, 10459, 31377.
What is 31377 in binary?
111101010010001 (hexadecimal 7A91, octal 75221).
What is the square root of 31377?
About 177.1355.
Is 31377 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 31377?
31377 is a semiprime: 3 × 10459, the product of two primes.