The number 23002
23002 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 31 × 53. Divisors (16): 1, 2, 7, 14, 31, 53, 62, 106, 217, 371, 434, 742, 1643, 3286, 11501, 23002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23002: a Harshad number: divisible by its digit sum 7.
- 2
23002 is composite. Its prime factorisation is
- 3
The divisors add up to 41472; without 23002 itself that is 18470, so 23002 is deficient (18470 is less than 23002). Euler's totient φ(23002) = 9360 numbers up to 23002 share no factor with it.
- 4
The digits of 23002 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23002 = 2 \times 7 \times 31 \times 53 \]
23002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41472 |
| Euler totient φ(n) | 9360 |
| Square | 529092004 |
| Cube | 12170174276008 |
| Square root | 151.664103 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3002 × |
23002 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and two |
| Binary (base 2) | 101100111011010 |
| Octal (base 8) | 54732 |
| Hexadecimal (base 16) | 59DA |
| Base 3 | 1011112221 |
| As time | 23002 seconds = 6 h 23 min 22 s |
Is 23002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23002 ÷ 2 = 11501) | 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 | Yes (23002 ÷ 7 = 3286) | 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 7) | 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 1) | 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 23002 a prime number?
No. 23002 = 2 × 7 × 31 × 53, so it is divisible by 2.
What are the factors of 23002?
1, 2, 7, 14, 31, 53, 62, 106, 217, 371, 434, 742, 1643, 3286, 11501, 23002.
What is 23002 in binary?
101100111011010 (hexadecimal 59DA, octal 54732).
What is the square root of 23002?
About 151.6641.
Is 23002 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 23002?
23002 is a Harshad number: divisible by its digit sum 7.