The number 61264
61264 is a composite number with 20 divisors. Its prime factorisation is × 7 × 547. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 547, 1094, 2188, 3829, 4376, 7658 … 61264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61264 is composite. Its prime factorisation is
- 3
The divisors add up to 135904; without 61264 itself that is 74640, so 61264 is abundant (74640 is more than 61264). Euler's totient φ(61264) = 26208 numbers up to 61264 share no factor with it.
- 4
The digits of 61264 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61264 = 2^{4} \times 7 \times 547 \]61264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 135904 |
| Euler totient φ(n) | 26208 |
| Square | 3753277696 |
| Cube | 229940804767744 |
| Square root | 247.515656 (= 4√3829) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1264 × |
61264 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and sixty-four |
| Binary (base 2) | 1110111101010000 |
| Octal (base 8) | 167520 |
| Hexadecimal (base 16) | EF50 |
| Base 3 | 10010001001 |
| As time | 61264 seconds = 17 h 1 min 4 s |
Is 61264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61264 ÷ 2 = 30632) | 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 (61264 ÷ 4 = 15316) | 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 | Yes (61264 ÷ 7 = 8752) | 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 (61264 ÷ 8 = 7658) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | 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 61264 a prime number?
No. 61264 = × 7 × 547, so it is divisible by 2.
What are the factors of 61264?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 547, 1094, 2188, 3829, 4376, 7658, 8752, 15316, 30632, 61264.
What is 61264 in binary?
1110111101010000 (hexadecimal EF50, octal 167520).
What is the square root of 61264?
About 247.5157, exactly 4√3829.
Is 61264 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61264?
It is a composite number with 20 divisors.