The number 61000
61000 is a composite number with 32 divisors. Its prime factorisation is × × 61. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 125, 200, 244 … 61000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61000 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 61000 itself that is 84080, so 61000 is abundant (84080 is more than 61000). Euler's totient φ(61000) = 24000 numbers up to 61000 share no factor with it.
- 4
The digits of 61000 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61000 = 2^{3} \times 5^{3} \times 61 \]61000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 24000 |
| Square | 3721000000 |
| Cube | 226981000000000 |
| Square root | 246.981781 (= 10√610) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1 × |
61000 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand |
| Binary (base 2) | 1110111001001000 |
| Octal (base 8) | 167110 |
| Hexadecimal (base 16) | EE48 |
| Base 3 | 10002200021 |
| As time | 61000 seconds = 16 h 56 min 40 s |
Is 61000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61000 ÷ 2 = 30500) | 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 (61000 ÷ 4 = 15250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61000 ÷ 5 = 12200) | 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 (61000 ÷ 8 = 7625) | 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 | Yes (61000 ÷ 10 = 6100) | 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 61000 a prime number?
No. 61000 = × × 61, so it is divisible by 2.
What are the factors of 61000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 125, 200, 244, 250, 305, 488, 500, 610, 1000, 1220, 1525, 2440, 3050, 6100, 7625, 12200, 15250, 30500, 61000.
What is 61000 in binary?
1110111001001000 (hexadecimal EE48, octal 167110).
What is the square root of 61000?
About 246.9818, exactly 10√610.
Is 61000 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 61000?
It is a composite number with 32 divisors.