The number 13978
13978 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 241. Divisors (8): 1, 2, 29, 58, 241, 482, 6989, 13978.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13978 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13978 is composite. Its prime factorisation is
- 3
The divisors add up to 21780; without 13978 itself that is 7802, so 13978 is deficient (7802 is less than 13978). Euler's totient φ(13978) = 6720 numbers up to 13978 share no factor with it.
- 4
The digits of 13978 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13978 = 2 \times 29 \times 241 \]
13978 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21780 |
| Euler totient φ(n) | 6720 |
| Square | 195384484 |
| Cube | 2731084317352 |
| Square root | 118.228592 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3978 × |
13978 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seventy-eight |
| Binary (base 2) | 11011010011010 |
| Octal (base 8) | 33232 |
| Hexadecimal (base 16) | 369A |
| Base 3 | 201011201 |
| As time | 13978 seconds = 3 h 52 min 58 s |
Is 13978 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13978 ÷ 2 = 6989) | 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 3) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13978 a prime number?
No. 13978 = 2 × 29 × 241, so it is divisible by 2.
What are the factors of 13978?
1, 2, 29, 58, 241, 482, 6989, 13978.
What is 13978 in binary?
11011010011010 (hexadecimal 369A, octal 33232).
What is the square root of 13978?
About 118.2286.
Is 13978 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 13978?
It is a composite number with 8 divisors.