The number 1202
1202 is a composite number with 4 divisors. Its prime factorisation is 2 × 601. Divisors (4): 1, 2, 601, 1202.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1202: a semiprime: 2 × 601, the product of two primes.
- 2
1202 is composite. Its prime factorisation is
- 3
The divisors add up to 1806; without 1202 itself that is 604, so 1202 is deficient (604 is less than 1202). Euler's totient φ(1202) = 600 numbers up to 1202 share no factor with it.
- 4
The digits of 1202 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1202 = 2 \times 601 \]
1202 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1806 |
| Euler totient φ(n) | 600 |
| Square | 1444804 |
| Cube | 1736654408 |
| Square root | 34.669872 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.202 × |
1202 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and two |
| Roman numerals | MCCII |
| Binary (base 2) | 10010110010 |
| Octal (base 8) | 2262 |
| Hexadecimal (base 16) | 4B2 |
| Base 3 | 1122112 |
| As time | 1202 seconds = 20 min 2 s |
Is 1202 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1202 ÷ 2 = 601) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1202 a prime number?
No. 1202 = 2 × 601, so it is divisible by 2.
What are the factors of 1202?
1, 2, 601, 1202.
What is 1202 in binary?
10010110010 (hexadecimal 4B2, octal 2262).
What is the square root of 1202?
About 34.6699.
What is 1202 in Roman numerals?
MCCII.
Is 1202 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1202?
1202 is a semiprime: 2 × 601, the product of two primes.