The number 13474
13474 is a composite number with 4 divisors. Its prime factorisation is 2 × 6737. Divisors (4): 1, 2, 6737, 13474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13474: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6737, the product of two primes.
- 2
13474 is composite. Its prime factorisation is
- 3
The divisors add up to 20214; without 13474 itself that is 6740, so 13474 is deficient (6740 is less than 13474). Euler's totient φ(13474) = 6736 numbers up to 13474 share no factor with it.
- 4
The digits of 13474 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13474 = 2 \times 6737 \]
13474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20214 |
| Euler totient φ(n) | 6736 |
| Square | 181548676 |
| Cube | 2446186860424 |
| Square root | 116.077560 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3474 × |
13474 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seventy-four |
| Binary (base 2) | 11010010100010 |
| Octal (base 8) | 32242 |
| Hexadecimal (base 16) | 34A2 |
| Base 3 | 200111001 |
| As time | 13474 seconds = 3 h 44 min 34 s |
Is 13474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13474 ÷ 2 = 6737) | 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 4) | 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 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 13474 a prime number?
No. 13474 = 2 × 6737, so it is divisible by 2.
What are the factors of 13474?
1, 2, 6737, 13474.
What is 13474 in binary?
11010010100010 (hexadecimal 34A2, octal 32242).
What is the square root of 13474?
About 116.0776.
Is 13474 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13474?
13474 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6737, the product of two primes.