The number 61002
61002 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3389. Divisors (12): 1, 2, 3, 6, 9, 18, 3389, 6778, 10167, 20334, 30501, 61002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61002: a Harshad number: divisible by its digit sum 9.
- 2
61002 is composite. Its prime factorisation is
- 3
The divisors add up to 132210; without 61002 itself that is 71208, so 61002 is abundant (71208 is more than 61002). Euler's totient φ(61002) = 20328 numbers up to 61002 share no factor with it.
- 4
The digits of 61002 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61002 = 2 \times 3^{2} \times 3389 \]61002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132210 |
| Euler totient φ(n) | 20328 |
| Square | 3721244004 |
| Cube | 227003326732008 |
| Square root | 246.985830 (= 3√6778) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1002 × |
61002 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and two |
| Binary (base 2) | 1110111001001010 |
| Octal (base 8) | 167112 |
| Hexadecimal (base 16) | EE4A |
| Base 3 | 10002200100 |
| As time | 61002 seconds = 16 h 56 min 42 s |
Is 61002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61002 ÷ 2 = 30501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61002 ÷ 3 = 20334) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (61002 ÷ 6 = 10167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61002 ÷ 9 = 6778) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61002 a prime number?
No. 61002 = 2 × × 3389, so it is divisible by 2.
What are the factors of 61002?
1, 2, 3, 6, 9, 18, 3389, 6778, 10167, 20334, 30501, 61002.
What is 61002 in binary?
1110111001001010 (hexadecimal EE4A, octal 167112).
What is the square root of 61002?
About 246.9858, exactly 3√6778.
Is 61002 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 61002?
61002 is a Harshad number: divisible by its digit sum 9.