The number 13419
13419 is a composite number with 16 divisors. Its prime factorisation is × 7 × 71. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 71, 189, 213, 497, 639, 1491, 1917, 4473, 13419.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13419 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13419 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 13419 itself that is 9621, so 13419 is deficient (9621 is less than 13419). Euler's totient φ(13419) = 7560 numbers up to 13419 share no factor with it.
- 4
The digits of 13419 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13419 = 3^{3} \times 7 \times 71 \]13419 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 7560 |
| Square | 180069561 |
| Cube | 2416353439059 |
| Square root | 115.840407 (= 3√1491) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3419 × |
13419 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and nineteen |
| Binary (base 2) | 11010001101011 |
| Octal (base 8) | 32153 |
| Hexadecimal (base 16) | 346B |
| Base 3 | 200102000 |
| As time | 13419 seconds = 3 h 43 min 39 s |
Is 13419 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13419 ÷ 3 = 4473) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13419 ÷ 7 = 1917) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13419 ÷ 9 = 1491) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13419 a prime number?
No. 13419 = × 7 × 71, so it is divisible by 3.
What are the factors of 13419?
1, 3, 7, 9, 21, 27, 63, 71, 189, 213, 497, 639, 1491, 1917, 4473, 13419.
What is 13419 in binary?
11010001101011 (hexadecimal 346B, octal 32153).
What is the square root of 13419?
About 115.8404, exactly 3√1491.
Is 13419 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13419?
It is a composite number with 16 divisors.