The number 62000
62000 is a composite number with 40 divisors. Its prime factorisation is × × 31. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 40, 50, 62, 80, 100, 124 … 62000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62000: a Harshad number: divisible by its digit sum 8.
- 2
62000 is composite. Its prime factorisation is
- 3
The divisors add up to 154752; without 62000 itself that is 92752, so 62000 is abundant (92752 is more than 62000). Euler's totient φ(62000) = 24000 numbers up to 62000 share no factor with it.
- 4
The digits of 62000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62000 = 2^{4} \times 5^{3} \times 31 \]62000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 154752 |
| Euler totient φ(n) | 24000 |
| Square | 3844000000 |
| Cube | 238328000000000 |
| Square root | 248.997992 (= 20√155) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.2 × |
62000 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand |
| Binary (base 2) | 1111001000110000 |
| Octal (base 8) | 171060 |
| Hexadecimal (base 16) | F230 |
| Base 3 | 10011001022 |
| As time | 62000 seconds = 17 h 13 min 20 s |
Is 62000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62000 ÷ 2 = 31000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62000 ÷ 4 = 15500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62000 ÷ 5 = 12400) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (62000 ÷ 8 = 7750) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (62000 ÷ 10 = 6200) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62000 a prime number?
No. 62000 = × × 31, so it is divisible by 2.
What are the factors of 62000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 40, 50, 62, 80, 100, 124, 125, 155, 200, 248, 250, 310, 400, 496, 500, 620, 775, 1000, 1240, 1550, 2000, 2480, 3100, 3875, 6200, 7750, 12400, 15500, 31000, 62000.
What is 62000 in binary?
1111001000110000 (hexadecimal F230, octal 171060).
What is the square root of 62000?
About 248.9980, exactly 20√155.
Is 62000 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 62000?
62000 is a Harshad number: divisible by its digit sum 8.