The number 98124

Q: Is 98124 a prime number?

No. 98124 = 2^2 × 3 × 13 × 17 × 37, so it is divisible by 2.

98124 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 13 × 17 × 37. Divisors (48): 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 37, 39, 51, 52, 68, 74 … 98124.

Number

Pick any whole number from 1 to 100,000.

98124 = 2^{2} \times 3 \times 13 \times 17 \times 37

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How to work it out

1
98124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
98124 is composite. Its prime factorisation is
$98124 = 2^{2} \times 3 \times 13 \times 17 \times 37$
3
The divisors add up to 268128; without 98124 itself that is 170004, so 98124 is abundant (170004 is more than 98124). Euler's totient φ(98124) = 27648 numbers up to 98124 share no factor with it.
4
The digits of 98124 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 71 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98124 = 2^{2} \times 3 \times 13 \times 17 \times 37 \]

98124 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	268128
Euler totient φ(n)	27648
Square	9628319376
Cube	944769210450624
Square root	313.247506 (= 2√24531)
Digit sum / digital root	24 / 6
Collatz steps to 1	71
Scientific notation	9.8124 × $10^{4}$

98124 in other forms

Form	Value
In words	ninety-eight thousand one hundred and twenty-four
Binary (base 2)	10111111101001100
Octal (base 8)	277514
Hexadecimal (base 16)	17F4C
Base 3	11222121020
As time	98124 seconds = 27 h 15 min 24 s

Is 98124 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98124 ÷ 2 = 49062)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (98124 ÷ 3 = 32708)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98124 ÷ 4 = 24531)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (98124 ÷ 6 = 16354)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (98124 ÷ 12 = 8177)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98124 a prime number?

No. 98124 = $2^{2}$ × 3 × 13 × 17 × 37, so it is divisible by 2.

What are the factors of 98124?

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 37, 39, 51, 52, 68, 74, 78, 102, 111, 148, 156, 204, 221, 222, 442, 444, 481, 629, 663, 884, 962, 1258, 1326, 1443, 1887, 1924, 2516, 2652, 2886, 3774, 5772, 7548, 8177, 16354, 24531, 32708, 49062, 98124.

What is 98124 in binary?

10111111101001100 (hexadecimal 17F4C, octal 277514).

What is the square root of 98124?

About 313.2475, exactly 2√24531.

Is 98124 divisible by 3?

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

What is special about the number 98124?

It is a composite number with 48 divisors.