The number 57460

Q: Is 57460 a prime number?

No. 57460 = 2^2 × 5 × 13^2 × 17, so it is divisible by 2.

57460 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × $13^{2}$ × 17. Divisors (36): 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 169 … 57460.

Number

Pick any whole number from 1 to 100,000.

57460 = 2^{2} \times 5 \times 13^{2} \times 17

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How to work it out

1
57460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
57460 is composite. Its prime factorisation is
$57460 = 2^{2} \times 5 \times 13^{2} \times 17$
3
The divisors add up to 138348; without 57460 itself that is 80888, so 57460 is abundant (80888 is more than 57460). Euler's totient φ(57460) = 19968 numbers up to 57460 share no factor with it.
4
The digits of 57460 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page

\[ 57460 = 2^{2} \times 5 \times 13^{2} \times 17 \]

57460 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	138348
Euler totient φ(n)	19968
Square	3301651600
Cube	189712900936000
Square root	239.708156 (= 26√85)
Digit sum / digital root	22 / 4
Collatz steps to 1	153
Scientific notation	5.746 × $10^{4}$

57460 in other forms

Form	Value
In words	fifty-seven thousand four hundred and sixty
Binary (base 2)	1110000001110100
Octal (base 8)	160164
Hexadecimal (base 16)	E074
Base 3	2220211011
As time	57460 seconds = 15 h 57 min 40 s

Is 57460 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (57460 ÷ 2 = 28730)	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 (57460 ÷ 4 = 14365)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (57460 ÷ 5 = 11492)	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 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	No (remainder 4)	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	Yes (57460 ÷ 10 = 5746)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	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 57460 a prime number?

No. 57460 = $2^{2}$ × 5 × $13^{2}$ × 17, so it is divisible by 2.

What are the factors of 57460?

1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 169, 170, 221, 260, 338, 340, 442, 676, 845, 884, 1105, 1690, 2210, 2873, 3380, 4420, 5746, 11492, 14365, 28730, 57460.

What is 57460 in binary?

1110000001110100 (hexadecimal E074, octal 160164).

What is the square root of 57460?

About 239.7082, exactly 26√85.

Is 57460 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 57460?

It is a composite number with 36 divisors.