The number 59272
59272 is a composite number with 16 divisors. Its prime factorisation is × 31 × 239. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 239, 248, 478, 956, 1912, 7409, 14818, 29636, 59272.
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How to work it out
- 1
59272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59272 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 59272 itself that is 55928, so 59272 is deficient (55928 is less than 59272). Euler's totient φ(59272) = 28560 numbers up to 59272 share no factor with it.
- 4
The digits of 59272 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59272 = 2^{3} \times 31 \times 239 \]59272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 28560 |
| Square | 3513169984 |
| Cube | 208232611291648 |
| Square root | 243.458415 (= 2√14818) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9272 × |
59272 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and seventy-two |
| Binary (base 2) | 1110011110001000 |
| Octal (base 8) | 163610 |
| Hexadecimal (base 16) | E788 |
| Base 3 | 10000022021 |
| As time | 59272 seconds = 16 h 27 min 52 s |
Is 59272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59272 ÷ 2 = 29636) | 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 (59272 ÷ 4 = 14818) | 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 3) | 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 (59272 ÷ 8 = 7409) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 59272 a prime number?
No. 59272 = × 31 × 239, so it is divisible by 2.
What are the factors of 59272?
1, 2, 4, 8, 31, 62, 124, 239, 248, 478, 956, 1912, 7409, 14818, 29636, 59272.
What is 59272 in binary?
1110011110001000 (hexadecimal E788, octal 163610).
What is the square root of 59272?
About 243.4584, exactly 2√14818.
Is 59272 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59272?
It is a composite number with 16 divisors.