The number 88440

Q: Is 88440 a prime number?

No. 88440 = 2^3 × 3 × 5 × 11 × 67, so it is divisible by 2.

88440 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 11 × 67. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33 … 88440.

Number

Pick any whole number from 1 to 100,000.

88440 = 2^{3} \times 3 \times 5 \times 11 \times 67

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How to work it out

1
What is special about 88440: a Harshad number: divisible by its digit sum 24.
2
88440 is composite. Its prime factorisation is
$88440 = 2^{3} \times 3 \times 5 \times 11 \times 67$
3
The divisors add up to 293760; without 88440 itself that is 205320, so 88440 is abundant (205320 is more than 88440). Euler's totient φ(88440) = 21120 numbers up to 88440 share no factor with it.
4
The digits of 88440 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page

\[ 88440 = 2^{3} \times 3 \times 5 \times 11 \times 67 \]

88440 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	293760
Euler totient φ(n)	21120
Square	7821633600
Cube	691745275584000
Square root	297.388635 (= 2√22110)
Digit sum / digital root	24 / 6
Collatz steps to 1	102
Scientific notation	8.844 × $10^{4}$

88440 in other forms

Form	Value
In words	eighty-eight thousand four hundred and forty
Binary (base 2)	10101100101111000
Octal (base 8)	254570
Hexadecimal (base 16)	15978
Base 3	11111022120
As time	88440 seconds = 24 h 34 min 0 s

Is 88440 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (88440 ÷ 2 = 44220)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (88440 ÷ 3 = 29480)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (88440 ÷ 4 = 22110)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (88440 ÷ 5 = 17688)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (88440 ÷ 6 = 14740)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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 (88440 ÷ 8 = 11055)	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	Yes (88440 ÷ 10 = 8844)	A number is divisible by 10 if the last digit is 0.
11	Yes (88440 ÷ 11 = 8040)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (88440 ÷ 12 = 7370)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88440 a prime number?

No. 88440 = $2^{3}$ × 3 × 5 × 11 × 67, so it is divisible by 2.

What are the factors of 88440?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 67, 88, 110, 120, 132, 134, 165, 201, 220, 264, 268, 330, 335, 402, 440, 536, 660, 670, 737, 804, 1005, 1320, 1340, 1474, 1608, 2010, 2211, 2680, 2948, 3685, 4020, 4422, 5896, 7370, 8040, 8844, 11055, 14740, 17688, 22110, 29480, 44220, 88440.

What is 88440 in binary?

10101100101111000 (hexadecimal 15978, octal 254570).

What is the square root of 88440?

About 297.3886, exactly 2√22110.

Is 88440 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 88440?

88440 is a Harshad number: divisible by its digit sum 24.