The number 88872

Q: Is 88872 a prime number?

No. 88872 = 2^3 × 3 × 7 × 23^2, so it is divisible by 2.

88872 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × $23^{2}$ . Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56 … 88872.

Number

Pick any whole number from 1 to 100,000.

88872 = 2^{3} \times 3 \times 7 \times 23^{2}

Explain it step by step in chat Make a short video of it

How to work it out

1
88872 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
88872 is composite. Its prime factorisation is
$88872 = 2^{3} \times 3 \times 7 \times 23^{2}$
3
The divisors add up to 265440; without 88872 itself that is 176568, so 88872 is abundant (176568 is more than 88872). Euler's totient φ(88872) = 24288 numbers up to 88872 share no factor with it.
4
The digits of 88872 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page

\[ 88872 = 2^{3} \times 3 \times 7 \times 23^{2} \]

88872 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	265440
Euler totient φ(n)	24288
Square	7898232384
Cube	701931708430848
Square root	298.114072 (= 46√42)
Digit sum / digital root	33 / 6
Collatz steps to 1	133
Scientific notation	8.8872 × $10^{4}$

88872 in other forms

Form	Value
In words	eighty-eight thousand eight hundred and seventy-two
Binary (base 2)	10101101100101000
Octal (base 8)	255450
Hexadecimal (base 16)	15B28
Base 3	11111220120
As time	88872 seconds = 24 h 41 min 12 s

Is 88872 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (88872 ÷ 2 = 44436)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (88872 ÷ 3 = 29624)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (88872 ÷ 4 = 22218)	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	Yes (88872 ÷ 6 = 14812)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (88872 ÷ 7 = 12696)	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 (88872 ÷ 8 = 11109)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	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 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (88872 ÷ 12 = 7406)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88872 a prime number?

No. 88872 = $2^{3}$ × 3 × 7 × $23^{2}$ , so it is divisible by 2.

What are the factors of 88872?

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 529, 552, 644, 966, 1058, 1288, 1587, 1932, 2116, 3174, 3703, 3864, 4232, 6348, 7406, 11109, 12696, 14812, 22218, 29624, 44436, 88872.

What is 88872 in binary?

10101101100101000 (hexadecimal 15B28, octal 255450).

What is the square root of 88872?

About 298.1141, exactly 46√42.

Is 88872 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 88872?

It is a composite number with 48 divisors.