The number 1402
1402 is a composite number with 4 divisors. Its prime factorisation is 2 × 701. Divisors (4): 1, 2, 701, 1402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1402: a semiprime: 2 × 701, the product of two primes.
- 2
1402 is composite. Its prime factorisation is
- 3
The divisors add up to 2106; without 1402 itself that is 704, so 1402 is deficient (704 is less than 1402). Euler's totient φ(1402) = 700 numbers up to 1402 share no factor with it.
- 4
The digits of 1402 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1402 = 2 \times 701 \]
1402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2106 |
| Euler totient φ(n) | 700 |
| Square | 1965604 |
| Cube | 2755776808 |
| Square root | 37.443290 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 1.402 × |
1402 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and two |
| Roman numerals | MCDII |
| Binary (base 2) | 10101111010 |
| Octal (base 8) | 2572 |
| Hexadecimal (base 16) | 57A |
| Base 3 | 1220221 |
| As time | 1402 seconds = 23 min 22 s |
Is 1402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1402 ÷ 2 = 701) | 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 | No (remainder 2) | 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 5) | 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 1402 a prime number?
No. 1402 = 2 × 701, so it is divisible by 2.
What are the factors of 1402?
1, 2, 701, 1402.
What is 1402 in binary?
10101111010 (hexadecimal 57A, octal 2572).
What is the square root of 1402?
About 37.4433.
What is 1402 in Roman numerals?
MCDII.
Is 1402 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1402?
1402 is a semiprime: 2 × 701, the product of two primes.