The number 83460

Q: Is 83460 a prime number?

No. 83460 = 2^2 × 3 × 5 × 13 × 107, so it is divisible by 2.

83460 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 13 × 107. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 83460.

Number

Pick any whole number from 1 to 100,000.

83460 = 2^{2} \times 3 \times 5 \times 13 \times 107

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How to work it out

1
83460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
83460 is composite. Its prime factorisation is
$83460 = 2^{2} \times 3 \times 5 \times 13 \times 107$
3
The divisors add up to 254016; without 83460 itself that is 170556, so 83460 is abundant (170556 is more than 83460). Euler's totient φ(83460) = 20352 numbers up to 83460 share no factor with it.
4
The digits of 83460 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83460 = 2^{2} \times 3 \times 5 \times 13 \times 107 \]

83460 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	254016
Euler totient φ(n)	20352
Square	6965571600
Cube	581346605736000
Square root	288.894444 (= 2√20865)
Digit sum / digital root	21 / 3
Collatz steps to 1	151
Scientific notation	8.346 × $10^{4}$

83460 in other forms

Form	Value
In words	eighty-three thousand four hundred and sixty
Binary (base 2)	10100011000000100
Octal (base 8)	243004
Hexadecimal (base 16)	14604
Base 3	11020111010
As time	83460 seconds = 23 h 11 min 0 s

Is 83460 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (83460 ÷ 2 = 41730)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (83460 ÷ 3 = 27820)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (83460 ÷ 4 = 20865)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (83460 ÷ 5 = 16692)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (83460 ÷ 6 = 13910)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (83460 ÷ 10 = 8346)	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 (83460 ÷ 12 = 6955)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83460 a prime number?

No. 83460 = $2^{2}$ × 3 × 5 × 13 × 107, so it is divisible by 2.

What are the factors of 83460?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 107, 130, 156, 195, 214, 260, 321, 390, 428, 535, 642, 780, 1070, 1284, 1391, 1605, 2140, 2782, 3210, 4173, 5564, 6420, 6955, 8346, 13910, 16692, 20865, 27820, 41730, 83460.

What is 83460 in binary?

10100011000000100 (hexadecimal 14604, octal 243004).

What is the square root of 83460?

About 288.8944, exactly 2√20865.

Is 83460 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 83460?

It is a composite number with 48 divisors.