The number 42588

Q: Is 42588 a prime number?

No. 42588 = 2^2 × 3^2 × 7 × 13^2, so it is divisible by 2.

42588 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 7 × $13^{2}$ . Divisors (54): 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39 … 42588.

Number

Pick any whole number from 1 to 100,000.

42588 = 2^{2} \times 3^{2} \times 7 \times 13^{2}

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How to work it out

1
42588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
42588 is composite. Its prime factorisation is
$42588 = 2^{2} \times 3^{2} \times 7 \times 13^{2}$
3
The divisors add up to 133224; without 42588 itself that is 90636, so 42588 is abundant (90636 is more than 42588). Euler's totient φ(42588) = 11232 numbers up to 42588 share no factor with it.
4
The digits of 42588 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page

\[ 42588 = 2^{2} \times 3^{2} \times 7 \times 13^{2} \]

42588 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	133224
Euler totient φ(n)	11232
Square	1813737744
Cube	77243463041472
Square root	206.368602 (= 78√7)
Digit sum / digital root	27 / 9
Collatz steps to 1	57
Scientific notation	4.2588 × $10^{4}$

42588 in other forms

Form	Value
In words	forty-two thousand five hundred and eighty-eight
Binary (base 2)	1010011001011100
Octal (base 8)	123134
Hexadecimal (base 16)	A65C
Base 3	2011102100
As time	42588 seconds = 11 h 49 min 48 s

Is 42588 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (42588 ÷ 2 = 21294)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (42588 ÷ 3 = 14196)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (42588 ÷ 4 = 10647)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (42588 ÷ 6 = 7098)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (42588 ÷ 7 = 6084)	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	Yes (42588 ÷ 9 = 4732)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	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	Yes (42588 ÷ 12 = 3549)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42588 a prime number?

No. 42588 = $2^{2}$ × $3^{2}$ × 7 × $13^{2}$ , so it is divisible by 2.

What are the factors of 42588?

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 169, 182, 234, 252, 273, 338, 364, 468, 507, 546, 676, 819, 1014, 1092, 1183, 1521, 1638, 2028, 2366, 3042, 3276, 3549, 4732, 6084, 7098, 10647, 14196, 21294, 42588.

What is 42588 in binary?

1010011001011100 (hexadecimal A65C, octal 123134).

What is the square root of 42588?

About 206.3686, exactly 78√7.

Is 42588 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 42588?

It is a composite number with 54 divisors.