The number 31264
31264 is a composite number with 12 divisors. Its prime factorisation is × 977. Divisors (12): 1, 2, 4, 8, 16, 32, 977, 1954, 3908, 7816, 15632, 31264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31264: a Harshad number: divisible by its digit sum 16.
- 2
31264 is composite. Its prime factorisation is
- 3
The divisors add up to 61614; without 31264 itself that is 30350, so 31264 is deficient (30350 is less than 31264). Euler's totient φ(31264) = 15616 numbers up to 31264 share no factor with it.
- 4
The digits of 31264 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31264 = 2^{5} \times 977 \]31264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61614 |
| Euler totient φ(n) | 15616 |
| Square | 977437696 |
| Cube | 30558612127744 |
| Square root | 176.816289 (= 4√1954) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1264 × |
31264 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and sixty-four |
| Binary (base 2) | 111101000100000 |
| Octal (base 8) | 75040 |
| Hexadecimal (base 16) | 7A20 |
| Base 3 | 1120212221 |
| As time | 31264 seconds = 8 h 41 min 4 s |
Is 31264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31264 ÷ 2 = 15632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31264 ÷ 4 = 7816) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (31264 ÷ 8 = 3908) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31264 a prime number?
No. 31264 = × 977, so it is divisible by 2.
What are the factors of 31264?
1, 2, 4, 8, 16, 32, 977, 1954, 3908, 7816, 15632, 31264.
What is 31264 in binary?
111101000100000 (hexadecimal 7A20, octal 75040).
What is the square root of 31264?
About 176.8163, exactly 4√1954.
Is 31264 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31264?
31264 is a Harshad number: divisible by its digit sum 16.