The number 98980

Q: Is 98980 a prime number?

No. 98980 = 2^2 × 5 × 7^2 × 101, so it is divisible by 2.

98980 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × $7^{2}$ × 101. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 101, 140, 196 … 98980.

Number

Pick any whole number from 1 to 100,000.

98980 = 2^{2} \times 5 \times 7^{2} \times 101

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How to work it out

1
98980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
98980 is composite. Its prime factorisation is
$98980 = 2^{2} \times 5 \times 7^{2} \times 101$
3
The divisors add up to 244188; without 98980 itself that is 145208, so 98980 is abundant (145208 is more than 98980). Euler's totient φ(98980) = 33600 numbers up to 98980 share no factor with it.
4
The digits of 98980 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page

\[ 98980 = 2^{2} \times 5 \times 7^{2} \times 101 \]

98980 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	244188
Euler totient φ(n)	33600
Square	9797040400
Cube	969711058792000
Square root	314.610871 (= 14√505)
Digit sum / digital root	34 / 7
Collatz steps to 1	146
Scientific notation	9.898 × $10^{4}$

98980 in other forms

Form	Value
In words	ninety-eight thousand nine hundred and eighty
Binary (base 2)	11000001010100100
Octal (base 8)	301244
Hexadecimal (base 16)	182A4
Base 3	12000202221
As time	98980 seconds = 27 h 29 min 40 s

Is 98980 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (98980 ÷ 2 = 49490)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (98980 ÷ 4 = 24745)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (98980 ÷ 5 = 19796)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (98980 ÷ 7 = 14140)	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 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (98980 ÷ 10 = 9898)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98980 a prime number?

No. 98980 = $2^{2}$ × 5 × $7^{2}$ × 101, so it is divisible by 2.

What are the factors of 98980?

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 101, 140, 196, 202, 245, 404, 490, 505, 707, 980, 1010, 1414, 2020, 2828, 3535, 4949, 7070, 9898, 14140, 19796, 24745, 49490, 98980.

What is 98980 in binary?

11000001010100100 (hexadecimal 182A4, octal 301244).

What is the square root of 98980?

About 314.6109, exactly 14√505.

Is 98980 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 98980?

It is a composite number with 36 divisors.