The number 1602
1602 is a composite number with 12 divisors. Its prime factorisation is 2 × × 89. Divisors (12): 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1602: a Harshad number: divisible by its digit sum 9.
- 2
1602 is composite. Its prime factorisation is
- 3
The divisors add up to 3510; without 1602 itself that is 1908, so 1602 is abundant (1908 is more than 1602). Euler's totient φ(1602) = 528 numbers up to 1602 share no factor with it.
- 4
The digits of 1602 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1602 = 2 \times 3^{2} \times 89 \]1602 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3510 |
| Euler totient φ(n) | 528 |
| Square | 2566404 |
| Cube | 4111379208 |
| Square root | 40.024992 (= 3√178) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.602 × |
1602 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and two |
| Roman numerals | MDCII |
| Binary (base 2) | 11001000010 |
| Octal (base 8) | 3102 |
| Hexadecimal (base 16) | 642 |
| Base 3 | 2012100 |
| As time | 1602 seconds = 26 min 42 s |
Is 1602 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1602 ÷ 2 = 801) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1602 ÷ 3 = 534) | 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 (1602 ÷ 6 = 267) | 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 | Yes (1602 ÷ 9 = 178) | 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 7) | 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 1602 a prime number?
No. 1602 = 2 × × 89, so it is divisible by 2.
What are the factors of 1602?
1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602.
What is 1602 in binary?
11001000010 (hexadecimal 642, octal 3102).
What is the square root of 1602?
About 40.0250, exactly 3√178.
What is 1602 in Roman numerals?
MDCII.
Is 1602 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1602?
1602 is a Harshad number: divisible by its digit sum 9.