The number 13970
13970 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 127. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 127, 254, 635, 1270, 1397, 2794, 6985, 13970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13970 is composite. Its prime factorisation is
- 3
The divisors add up to 27648; without 13970 itself that is 13678, so 13970 is deficient (13678 is less than 13970). Euler's totient φ(13970) = 5040 numbers up to 13970 share no factor with it.
- 4
The digits of 13970 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13970 = 2 \times 5 \times 11 \times 127 \]
13970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27648 |
| Euler totient φ(n) | 5040 |
| Square | 195160900 |
| Cube | 2726397773000 |
| Square root | 118.194755 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.397 × |
13970 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seventy |
| Binary (base 2) | 11011010010010 |
| Octal (base 8) | 33222 |
| Hexadecimal (base 16) | 3692 |
| Base 3 | 201011102 |
| As time | 13970 seconds = 3 h 52 min 50 s |
Is 13970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13970 ÷ 2 = 6985) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (13970 ÷ 5 = 2794) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13970 ÷ 10 = 1397) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13970 ÷ 11 = 1270) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13970 a prime number?
No. 13970 = 2 × 5 × 11 × 127, so it is divisible by 2.
What are the factors of 13970?
1, 2, 5, 10, 11, 22, 55, 110, 127, 254, 635, 1270, 1397, 2794, 6985, 13970.
What is 13970 in binary?
11011010010010 (hexadecimal 3692, octal 33222).
What is the square root of 13970?
About 118.1948.
Is 13970 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13970?
It is a composite number with 16 divisors.