The number 54872

Q: Is 54872 a prime number?

No. 54872 = 2^3 × 19^3, so it is divisible by 2.

Q: What is special about the number 54872?

54872 is a perfect cube (38^3).

54872 is a perfect cube ( $38^{3}$ ). Its prime factorisation is $2^{3}$ × $19^{3}$ . Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888, 6859, 13718, 27436, 54872.

Number

Pick any whole number from 1 to 100,000.

54872 = 2^{3} \times 19^{3}

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How to work it out

1
What is special about 54872: a perfect cube ( $38^{3}$ ).
2
54872 is composite. Its prime factorisation is
$54872 = 2^{3} \times 19^{3}$
3
The divisors add up to 108600; without 54872 itself that is 53728, so 54872 is deficient (53728 is less than 54872). Euler's totient φ(54872) = 25992 numbers up to 54872 share no factor with it.
4
The digits of 54872 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 65 steps to reach 1.

LaTeX source of the formulas on this page

\[ 54872 = 2^{3} \times 19^{3} \]

54872 at a glance

Property	Value
Type	composite
Number of divisors	16
Sum of divisors	108600
Euler totient φ(n)	25992
Square	3010936384
Cube	165216101262848
Square root	234.247732 (= 38√38)
Digit sum / digital root	26 / 8
Collatz steps to 1	65
Scientific notation	5.4872 × $10^{4}$
Perfect power	$38^{3}$

54872 in other forms

Form	Value
In words	fifty-four thousand eight hundred and seventy-two
Binary (base 2)	1101011001011000
Octal (base 8)	153130
Hexadecimal (base 16)	D658
Base 3	2210021022
As time	54872 seconds = 15 h 14 min 32 s

Is 54872 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (54872 ÷ 2 = 27436)	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 (54872 ÷ 4 = 13718)	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 2)	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 (54872 ÷ 8 = 6859)	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 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 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54872 a prime number?

No. 54872 = $2^{3}$ × $19^{3}$ , so it is divisible by 2.

What are the factors of 54872?

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888, 6859, 13718, 27436, 54872.

What is 54872 in binary?

1101011001011000 (hexadecimal D658, octal 153130).

What is the square root of 54872?

About 234.2477, exactly 38√38.

Is 54872 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 54872?

54872 is a perfect cube ( $38^{3}$ ).