The number 13969
13969 is a composite number with 4 divisors. Its prime factorisation is 61 × 229. Divisors (4): 1, 61, 229, 13969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13969: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 229, the product of two primes.
- 2
13969 is composite. Its prime factorisation is
- 3
The divisors add up to 14260; without 13969 itself that is 291, so 13969 is deficient (291 is less than 13969). Euler's totient φ(13969) = 13680 numbers up to 13969 share no factor with it.
- 4
The digits of 13969 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13969 = 61 \times 229 \]
13969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14260 |
| Euler totient φ(n) | 13680 |
| Square | 195132961 |
| Cube | 2725812332209 |
| Square root | 118.190524 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3969 × |
13969 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty-nine |
| Binary (base 2) | 11011010010001 |
| Octal (base 8) | 33221 |
| Hexadecimal (base 16) | 3691 |
| Base 3 | 201011101 |
| As time | 13969 seconds = 3 h 52 min 49 s |
Is 13969 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 1) | 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 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13969 a prime number?
No. 13969 = 61 × 229, so it is divisible by 61.
What are the factors of 13969?
1, 61, 229, 13969.
What is 13969 in binary?
11011010010001 (hexadecimal 3691, octal 33221).
What is the square root of 13969?
About 118.1905.
Is 13969 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 13969?
13969 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 229, the product of two primes.