The number 53976
53976 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 173. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 173 … 53976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53976 is composite. Its prime factorisation is
- 3
The divisors add up to 146160; without 53976 itself that is 92184, so 53976 is abundant (92184 is more than 53976). Euler's totient φ(53976) = 16512 numbers up to 53976 share no factor with it.
- 4
The digits of 53976 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53976 = 2^{3} \times 3 \times 13 \times 173 \]53976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 146160 |
| Euler totient φ(n) | 16512 |
| Square | 2913408576 |
| Cube | 157254141298176 |
| Square root | 232.327355 (= 2√13494) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3976 × |
53976 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and seventy-six |
| Binary (base 2) | 1101001011011000 |
| Octal (base 8) | 151330 |
| Hexadecimal (base 16) | D2D8 |
| Base 3 | 2202001010 |
| As time | 53976 seconds = 14 h 59 min 36 s |
Is 53976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53976 ÷ 2 = 26988) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53976 ÷ 3 = 17992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53976 ÷ 4 = 13494) | 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 | Yes (53976 ÷ 6 = 8996) | 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 | Yes (53976 ÷ 8 = 6747) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53976 ÷ 12 = 4498) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53976 a prime number?
No. 53976 = × 3 × 13 × 173, so it is divisible by 2.
What are the factors of 53976?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 173, 312, 346, 519, 692, 1038, 1384, 2076, 2249, 4152, 4498, 6747, 8996, 13494, 17992, 26988, 53976.
What is 53976 in binary?
1101001011011000 (hexadecimal D2D8, octal 151330).
What is the square root of 53976?
About 232.3274, exactly 2√13494.
Is 53976 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 53976?
It is a composite number with 32 divisors.