The number 83980

Q: Is 83980 a prime number?

No. 83980 = 2^2 × 5 × 13 × 17 × 19, so it is divisible by 2.

83980 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 5 × 13 × 17 × 19. Divisors (48): 1, 2, 4, 5, 10, 13, 17, 19, 20, 26, 34, 38, 52, 65, 68, 76 … 83980.

Number

Pick any whole number from 1 to 100,000.

83980 = 2^{2} \times 5 \times 13 \times 17 \times 19

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How to work it out

1
83980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
83980 is composite. Its prime factorisation is
$83980 = 2^{2} \times 5 \times 13 \times 17 \times 19$
3
The divisors add up to 211680; without 83980 itself that is 127700, so 83980 is abundant (127700 is more than 83980). Euler's totient φ(83980) = 27648 numbers up to 83980 share no factor with it.
4
The digits of 83980 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83980 = 2^{2} \times 5 \times 13 \times 17 \times 19 \]

83980 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	211680
Euler totient φ(n)	27648
Square	7052640400
Cube	592280740792000
Square root	289.793030 (= 2√20995)
Digit sum / digital root	28 / 1
Collatz steps to 1	151
Scientific notation	8.398 × $10^{4}$

83980 in other forms

Form	Value
In words	eighty-three thousand nine hundred and eighty
Binary (base 2)	10100100000001100
Octal (base 8)	244014
Hexadecimal (base 16)	1480C
Base 3	11021012101
As time	83980 seconds = 23 h 19 min 40 s

Is 83980 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (83980 ÷ 2 = 41990)	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 (83980 ÷ 4 = 20995)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (83980 ÷ 5 = 16796)	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	No (remainder 1)	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 1)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (83980 ÷ 10 = 8398)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 6)	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 83980 a prime number?

No. 83980 = $2^{2}$ × 5 × 13 × 17 × 19, so it is divisible by 2.

What are the factors of 83980?

1, 2, 4, 5, 10, 13, 17, 19, 20, 26, 34, 38, 52, 65, 68, 76, 85, 95, 130, 170, 190, 221, 247, 260, 323, 340, 380, 442, 494, 646, 884, 988, 1105, 1235, 1292, 1615, 2210, 2470, 3230, 4199, 4420, 4940, 6460, 8398, 16796, 20995, 41990, 83980.

What is 83980 in binary?

10100100000001100 (hexadecimal 1480C, octal 244014).

What is the square root of 83980?

About 289.7930, exactly 2√20995.

Is 83980 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 83980?

It is a composite number with 48 divisors.