The number 59872
59872 is a composite number with 12 divisors. Its prime factorisation is × 1871. Divisors (12): 1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936, 59872.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59872 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59872 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 59872 itself that is 58064, so 59872 is deficient (58064 is less than 59872). Euler's totient φ(59872) = 29920 numbers up to 59872 share no factor with it.
- 4
The digits of 59872 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59872 = 2^{5} \times 1871 \]59872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 29920 |
| Square | 3584656384 |
| Cube | 214620547022848 |
| Square root | 244.687556 (= 4√3742) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9872 × |
59872 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand eight hundred and seventy-two |
| Binary (base 2) | 1110100111100000 |
| Octal (base 8) | 164740 |
| Hexadecimal (base 16) | E9E0 |
| Base 3 | 10001010111 |
| As time | 59872 seconds = 16 h 37 min 52 s |
Is 59872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59872 ÷ 2 = 29936) | 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 | Yes (59872 ÷ 4 = 14968) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 1) | 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 (59872 ÷ 8 = 7484) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59872 a prime number?
No. 59872 = × 1871, so it is divisible by 2.
What are the factors of 59872?
1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936, 59872.
What is 59872 in binary?
1110100111100000 (hexadecimal E9E0, octal 164740).
What is the square root of 59872?
About 244.6876, exactly 4√3742.
Is 59872 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 59872?
It is a composite number with 12 divisors.