The number 89712

Q: Is 89712 a prime number?

No. 89712 = 2^4 × 3^2 × 7 × 89, so it is divisible by 2.

89712 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 7 × 89. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36 … 89712.

Number

Pick any whole number from 1 to 100,000.

89712 = 2^{4} \times 3^{2} \times 7 \times 89

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How to work it out

1
89712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
89712 is composite. Its prime factorisation is
$89712 = 2^{4} \times 3^{2} \times 7 \times 89$
3
The divisors add up to 290160; without 89712 itself that is 200448, so 89712 is abundant (200448 is more than 89712). Euler's totient φ(89712) = 25344 numbers up to 89712 share no factor with it.
4
The digits of 89712 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 71 steps to reach 1.

LaTeX source of the formulas on this page

\[ 89712 = 2^{4} \times 3^{2} \times 7 \times 89 \]

89712 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	290160
Euler totient φ(n)	25344
Square	8048242944
Cube	722023970992128
Square root	299.519615 (= 12√623)
Digit sum / digital root	27 / 9
Collatz steps to 1	71
Scientific notation	8.9712 × $10^{4}$

89712 in other forms

Form	Value
In words	eighty-nine thousand seven hundred and twelve
Binary (base 2)	10101111001110000
Octal (base 8)	257160
Hexadecimal (base 16)	15E70
Base 3	11120001200
As time	89712 seconds = 24 h 55 min 12 s

Is 89712 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (89712 ÷ 2 = 44856)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (89712 ÷ 3 = 29904)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (89712 ÷ 4 = 22428)	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 (89712 ÷ 6 = 14952)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (89712 ÷ 7 = 12816)	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 (89712 ÷ 8 = 11214)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (89712 ÷ 9 = 9968)	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 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (89712 ÷ 12 = 7476)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 89712 a prime number?

No. 89712 = $2^{4}$ × $3^{2}$ × 7 × 89, so it is divisible by 2.

What are the factors of 89712?

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 89, 112, 126, 144, 168, 178, 252, 267, 336, 356, 504, 534, 623, 712, 801, 1008, 1068, 1246, 1424, 1602, 1869, 2136, 2492, 3204, 3738, 4272, 4984, 5607, 6408, 7476, 9968, 11214, 12816, 14952, 22428, 29904, 44856, 89712.

What is 89712 in binary?

10101111001110000 (hexadecimal 15E70, octal 257160).

What is the square root of 89712?

About 299.5196, exactly 12√623.

Is 89712 divisible by 3?

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

What is special about the number 89712?

It is a composite number with 60 divisors.