The number 88740

Q: Is 88740 a prime number?

No. 88740 = 2^2 × 3^2 × 5 × 17 × 29, so it is divisible by 2.

88740 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 17 × 29. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 29, 30, 34 … 88740.

Number

Pick any whole number from 1 to 100,000.

88740 = 2^{2} \times 3^{2} \times 5 \times 17 \times 29

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How to work it out

1
What is special about 88740: a happy number: repeatedly adding the squares of its digits reaches 1.
2
88740 is composite. Its prime factorisation is
$88740 = 2^{2} \times 3^{2} \times 5 \times 17 \times 29$
3
The divisors add up to 294840; without 88740 itself that is 206100, so 88740 is abundant (206100 is more than 88740). Euler's totient φ(88740) = 21504 numbers up to 88740 share no factor with it.
4
The digits of 88740 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 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 88740 = 2^{2} \times 3^{2} \times 5 \times 17 \times 29 \]

88740 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	294840
Euler totient φ(n)	21504
Square	7874787600
Cube	698808651624000
Square root	297.892598 (= 6√2465)
Digit sum / digital root	27 / 9
Collatz steps to 1	94
Scientific notation	8.874 × $10^{4}$

88740 in other forms

Form	Value
In words	eighty-eight thousand seven hundred and forty
Binary (base 2)	10101101010100100
Octal (base 8)	255244
Hexadecimal (base 16)	15AA4
Base 3	11111201200
As time	88740 seconds = 24 h 39 min 0 s

Is 88740 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (88740 ÷ 2 = 44370)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (88740 ÷ 3 = 29580)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (88740 ÷ 4 = 22185)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (88740 ÷ 5 = 17748)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (88740 ÷ 6 = 14790)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 (88740 ÷ 9 = 9860)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (88740 ÷ 10 = 8874)	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 (88740 ÷ 12 = 7395)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88740 a prime number?

No. 88740 = $2^{2}$ × $3^{2}$ × 5 × 17 × 29, so it is divisible by 2.

What are the factors of 88740?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 29, 30, 34, 36, 45, 51, 58, 60, 68, 85, 87, 90, 102, 116, 145, 153, 170, 174, 180, 204, 255, 261, 290, 306, 340, 348, 435, 493, 510, 522, 580, 612, 765, 870, 986, 1020, 1044, 1305, 1479, 1530, 1740, 1972, 2465, 2610, 2958, 3060, 4437, 4930, 5220, 5916, 7395, 8874, 9860, 14790, 17748, 22185, 29580, 44370, 88740.

What is 88740 in binary?

10101101010100100 (hexadecimal 15AA4, octal 255244).

What is the square root of 88740?

About 297.8926, exactly 6√2465.

Is 88740 divisible by 3?

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

What is special about the number 88740?

88740 is a happy number: repeatedly adding the squares of its digits reaches 1.