The number 31002
31002 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5167. Divisors (8): 1, 2, 3, 6, 5167, 10334, 15501, 31002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31002: a Harshad number: divisible by its digit sum 6.
- 2
31002 is composite. Its prime factorisation is
- 3
The divisors add up to 62016; without 31002 itself that is 31014, so 31002 is abundant (31014 is more than 31002). Euler's totient φ(31002) = 10332 numbers up to 31002 share no factor with it.
- 4
The digits of 31002 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31002 = 2 \times 3 \times 5167 \]
31002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62016 |
| Euler totient φ(n) | 10332 |
| Square | 961124004 |
| Cube | 29796766372008 |
| Square root | 176.073848 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1002 × |
31002 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and two |
| Binary (base 2) | 111100100011010 |
| Octal (base 8) | 74432 |
| Hexadecimal (base 16) | 791A |
| Base 3 | 1120112020 |
| As time | 31002 seconds = 8 h 36 min 42 s |
Is 31002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31002 ÷ 2 = 15501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31002 ÷ 3 = 10334) | 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 (31002 ÷ 6 = 5167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 31002 a prime number?
No. 31002 = 2 × 3 × 5167, so it is divisible by 2.
What are the factors of 31002?
1, 2, 3, 6, 5167, 10334, 15501, 31002.
What is 31002 in binary?
111100100011010 (hexadecimal 791A, octal 74432).
What is the square root of 31002?
About 176.0738.
Is 31002 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 31002?
31002 is a Harshad number: divisible by its digit sum 6.