The number 83148

Q: Is 83148 a prime number?

No. 83148 = 2^2 × 3 × 13^2 × 41, so it is divisible by 2.

83148 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $13^{2}$ × 41. Divisors (36): 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164 … 83148.

Number

Pick any whole number from 1 to 100,000.

83148 = 2^{2} \times 3 \times 13^{2} \times 41

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How to work it out

1
83148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
83148 is composite. Its prime factorisation is
$83148 = 2^{2} \times 3 \times 13^{2} \times 41$
3
The divisors add up to 215208; without 83148 itself that is 132060, so 83148 is abundant (132060 is more than 83148). Euler's totient φ(83148) = 24960 numbers up to 83148 share no factor with it.
4
The digits of 83148 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 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83148 = 2^{2} \times 3 \times 13^{2} \times 41 \]

83148 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	215208
Euler totient φ(n)	24960
Square	6913589904
Cube	574851173337792
Square root	288.353949 (= 26√123)
Digit sum / digital root	24 / 6
Collatz steps to 1	151
Scientific notation	8.3148 × $10^{4}$

83148 in other forms

Form	Value
In words	eighty-three thousand one hundred and forty-eight
Binary (base 2)	10100010011001100
Octal (base 8)	242314
Hexadecimal (base 16)	144CC
Base 3	11020001120
As time	83148 seconds = 23 h 5 min 48 s

Is 83148 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (83148 ÷ 2 = 41574)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (83148 ÷ 3 = 27716)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (83148 ÷ 4 = 20787)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (83148 ÷ 6 = 13858)	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	No (remainder 4)	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 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (83148 ÷ 12 = 6929)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83148 a prime number?

No. 83148 = $2^{2}$ × 3 × $13^{2}$ × 41, so it is divisible by 2.

What are the factors of 83148?

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 169, 246, 338, 492, 507, 533, 676, 1014, 1066, 1599, 2028, 2132, 3198, 6396, 6929, 13858, 20787, 27716, 41574, 83148.

What is 83148 in binary?

10100010011001100 (hexadecimal 144CC, octal 242314).

What is the square root of 83148?

About 288.3539, exactly 26√123.

Is 83148 divisible by 3?

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

What is special about the number 83148?

It is a composite number with 36 divisors.