The number 31407
31407 is a binary palindrome (111101010101111). Its prime factorisation is 3 × × 29. Divisors (12): 1, 3, 19, 29, 57, 87, 361, 551, 1083, 1653, 10469, 31407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31407: a binary palindrome (111101010101111).
- 2
31407 is composite. Its prime factorisation is
- 3
The divisors add up to 45720; without 31407 itself that is 14313, so 31407 is deficient (14313 is less than 31407). Euler's totient φ(31407) = 19152 numbers up to 31407 share no factor with it.
- 4
The digits of 31407 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31407 = 3 \times 19^{2} \times 29 \]31407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 45720 |
| Euler totient φ(n) | 19152 |
| Square | 986399649 |
| Cube | 30979853776143 |
| Square root | 177.220202 (= 19√87) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1407 × |
31407 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and seven |
| Binary (base 2) | 111101010101111 |
| Octal (base 8) | 75257 |
| Hexadecimal (base 16) | 7AAF |
| Base 3 | 1121002020 |
| As time | 31407 seconds = 8 h 43 min 27 s |
Is 31407 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 (31407 ÷ 3 = 10469) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31407 a prime number?
No. 31407 = 3 × × 29, so it is divisible by 3.
What are the factors of 31407?
1, 3, 19, 29, 57, 87, 361, 551, 1083, 1653, 10469, 31407.
What is 31407 in binary?
111101010101111 (hexadecimal 7AAF, octal 75257).
What is the square root of 31407?
About 177.2202, exactly 19√87.
Is 31407 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31407?
31407 is a binary palindrome (111101010101111).