The number 61600
61600 is a composite number with 72 divisors. Its prime factorisation is × × 7 × 11. Divisors (72): 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 25, 28, 32, 35 … 61600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61600 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61600 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 61600 itself that is 125888, so 61600 is abundant (125888 is more than 61600). Euler's totient φ(61600) = 19200 numbers up to 61600 share no factor with it.
- 4
The digits of 61600 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61600 = 2^{5} \times 5^{2} \times 7 \times 11 \]61600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 19200 |
| Square | 3794560000 |
| Cube | 233744896000000 |
| Square root | 248.193473 (= 20√154) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.16 × |
61600 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred |
| Binary (base 2) | 1111000010100000 |
| Octal (base 8) | 170240 |
| Hexadecimal (base 16) | F0A0 |
| Base 3 | 10010111111 |
| As time | 61600 seconds = 17 h 6 min 40 s |
Is 61600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61600 ÷ 2 = 30800) | 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 (61600 ÷ 4 = 15400) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61600 ÷ 5 = 12320) | 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 (61600 ÷ 7 = 8800) | 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 (61600 ÷ 8 = 7700) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61600 ÷ 10 = 6160) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61600 ÷ 11 = 5600) | 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 61600 a prime number?
No. 61600 = × × 7 × 11, so it is divisible by 2.
What are the factors of 61600?
1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 25, 28, 32, 35, 40, 44, 50, 55, 56, 70, 77, 80, 88, 100, 110, 112, 140, 154, 160, 175, 176, 200, 220, 224, 275, 280, 308, 350, 352, 385, 400, 440, 550, 560, 616, 700, 770, 800, 880, 1100, 1120, 1232, 1400, 1540, 1760, 1925, 2200, 2464, 2800, 3080, 3850, 4400, 5600, 6160, 7700, 8800, 12320, 15400, 30800, 61600.
What is 61600 in binary?
1111000010100000 (hexadecimal F0A0, octal 170240).
What is the square root of 61600?
About 248.1935, exactly 20√154.
Is 61600 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 61600?
It is a composite number with 72 divisors.