The number 13402
13402 is a composite number with 4 divisors. Its prime factorisation is 2 × 6701. Divisors (4): 1, 2, 6701, 13402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13402: a semiprime: 2 × 6701, the product of two primes.
- 2
13402 is composite. Its prime factorisation is
- 3
The divisors add up to 20106; without 13402 itself that is 6704, so 13402 is deficient (6704 is less than 13402). Euler's totient φ(13402) = 6700 numbers up to 13402 share no factor with it.
- 4
The digits of 13402 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13402 = 2 \times 6701 \]
13402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20106 |
| Euler totient φ(n) | 6700 |
| Square | 179613604 |
| Cube | 2407181520808 |
| Square root | 115.767007 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3402 × |
13402 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and two |
| Binary (base 2) | 11010001011010 |
| Octal (base 8) | 32132 |
| Hexadecimal (base 16) | 345A |
| Base 3 | 200101101 |
| As time | 13402 seconds = 3 h 43 min 22 s |
Is 13402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13402 ÷ 2 = 6701) | 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 4) | 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 1) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13402 a prime number?
No. 13402 = 2 × 6701, so it is divisible by 2.
What are the factors of 13402?
1, 2, 6701, 13402.
What is 13402 in binary?
11010001011010 (hexadecimal 345A, octal 32132).
What is the square root of 13402?
About 115.7670.
Is 13402 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13402?
13402 is a semiprime: 2 × 6701, the product of two primes.