The number 13976
13976 is a composite number with 8 divisors. Its prime factorisation is × 1747. Divisors (8): 1, 2, 4, 8, 1747, 3494, 6988, 13976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13976: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13976 is composite. Its prime factorisation is
- 3
The divisors add up to 26220; without 13976 itself that is 12244, so 13976 is deficient (12244 is less than 13976). Euler's totient φ(13976) = 6984 numbers up to 13976 share no factor with it.
- 4
The digits of 13976 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13976 = 2^{3} \times 1747 \]13976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26220 |
| Euler totient φ(n) | 6984 |
| Square | 195328576 |
| Cube | 2729912178176 |
| Square root | 118.220134 (= 2√3494) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3976 × |
13976 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seventy-six |
| Binary (base 2) | 11011010011000 |
| Octal (base 8) | 33230 |
| Hexadecimal (base 16) | 3698 |
| Base 3 | 201011122 |
| As time | 13976 seconds = 3 h 52 min 56 s |
Is 13976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13976 ÷ 2 = 6988) | 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 | Yes (13976 ÷ 4 = 3494) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (13976 ÷ 8 = 1747) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13976 a prime number?
No. 13976 = × 1747, so it is divisible by 2.
What are the factors of 13976?
1, 2, 4, 8, 1747, 3494, 6988, 13976.
What is 13976 in binary?
11011010011000 (hexadecimal 3698, octal 33230).
What is the square root of 13976?
About 118.2201, exactly 2√3494.
Is 13976 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13976?
13976 is a happy number: repeatedly adding the squares of its digits reaches 1.