The number 76002
76002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 53 × 239. Divisors (16): 1, 2, 3, 6, 53, 106, 159, 239, 318, 478, 717, 1434, 12667, 25334, 38001, 76002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76002 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 76002 itself that is 79518, so 76002 is abundant (79518 is more than 76002). Euler's totient φ(76002) = 24752 numbers up to 76002 share no factor with it.
- 4
The digits of 76002 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76002 = 2 \times 3 \times 53 \times 239 \]
76002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 24752 |
| Square | 5776304004 |
| Cube | 439010656912008 |
| Square root | 275.684602 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6002 × |
76002 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and two |
| Binary (base 2) | 10010100011100010 |
| Octal (base 8) | 224342 |
| Hexadecimal (base 16) | 128E2 |
| Base 3 | 10212020220 |
| As time | 76002 seconds = 21 h 6 min 42 s |
Is 76002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76002 ÷ 2 = 38001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76002 ÷ 3 = 25334) | 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 (76002 ÷ 6 = 12667) | 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 6) | 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 3) | 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 76002 a prime number?
No. 76002 = 2 × 3 × 53 × 239, so it is divisible by 2.
What are the factors of 76002?
1, 2, 3, 6, 53, 106, 159, 239, 318, 478, 717, 1434, 12667, 25334, 38001, 76002.
What is 76002 in binary?
10010100011100010 (hexadecimal 128E2, octal 224342).
What is the square root of 76002?
About 275.6846.
Is 76002 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 76002?
It is a composite number with 16 divisors.