The number 62002
62002 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 1069. Divisors (8): 1, 2, 29, 58, 1069, 2138, 31001, 62002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62002: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62002 is composite. Its prime factorisation is
- 3
The divisors add up to 96300; without 62002 itself that is 34298, so 62002 is deficient (34298 is less than 62002). Euler's totient φ(62002) = 29904 numbers up to 62002 share no factor with it.
- 4
The digits of 62002 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62002 = 2 \times 29 \times 1069 \]
62002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 96300 |
| Euler totient φ(n) | 29904 |
| Square | 3844248004 |
| Cube | 238351064744008 |
| Square root | 249.002008 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.2002 × |
62002 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and two |
| Binary (base 2) | 1111001000110010 |
| Octal (base 8) | 171062 |
| Hexadecimal (base 16) | F232 |
| Base 3 | 10011001101 |
| As time | 62002 seconds = 17 h 13 min 22 s |
Is 62002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62002 ÷ 2 = 31001) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62002 a prime number?
No. 62002 = 2 × 29 × 1069, so it is divisible by 2.
What are the factors of 62002?
1, 2, 29, 58, 1069, 2138, 31001, 62002.
What is 62002 in binary?
1111001000110010 (hexadecimal F232, octal 171062).
What is the square root of 62002?
About 249.0020.
Is 62002 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 62002?
62002 is a happy number: repeatedly adding the squares of its digits reaches 1.