The number 83790

Q: Is 83790 a prime number?

No. 83790 = 2 × 3^2 × 5 × 7^2 × 19, so it is divisible by 2.

83790 is a composite number with 72 divisors. Its prime factorisation is 2 × $3^{2}$ × 5 × $7^{2}$ × 19. Divisors (72): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 30, 35, 38 … 83790.

Number

Pick any whole number from 1 to 100,000.

83790 = 2 \times 3^{2} \times 5 \times 7^{2} \times 19

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How to work it out

1
What is special about 83790: a happy number: repeatedly adding the squares of its digits reaches 1.
2
83790 is composite. Its prime factorisation is
$83790 = 2 \times 3^{2} \times 5 \times 7^{2} \times 19$
3
The divisors add up to 266760; without 83790 itself that is 182970, so 83790 is abundant (182970 is more than 83790). Euler's totient φ(83790) = 18144 numbers up to 83790 share no factor with it.
4
The digits of 83790 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83790 = 2 \times 3^{2} \times 5 \times 7^{2} \times 19 \]

83790 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	266760
Euler totient φ(n)	18144
Square	7020764100
Cube	588269823939000
Square root	289.465024 (= 21√190)
Digit sum / digital root	27 / 9
Collatz steps to 1	89
Scientific notation	8.379 × $10^{4}$

83790 in other forms

Form	Value
In words	eighty-three thousand seven hundred and ninety
Binary (base 2)	10100011101001110
Octal (base 8)	243516
Hexadecimal (base 16)	1474E
Base 3	11020221100
As time	83790 seconds = 23 h 16 min 30 s

Is 83790 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (83790 ÷ 2 = 41895)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (83790 ÷ 3 = 27930)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (83790 ÷ 5 = 16758)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (83790 ÷ 6 = 13965)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (83790 ÷ 7 = 11970)	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 6)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (83790 ÷ 9 = 9310)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (83790 ÷ 10 = 8379)	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	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83790 a prime number?

No. 83790 = 2 × $3^{2}$ × 5 × $7^{2}$ × 19, so it is divisible by 2.

What are the factors of 83790?

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 30, 35, 38, 42, 45, 49, 57, 63, 70, 90, 95, 98, 105, 114, 126, 133, 147, 171, 190, 210, 245, 266, 285, 294, 315, 342, 399, 441, 490, 570, 630, 665, 735, 798, 855, 882, 931, 1197, 1330, 1470, 1710, 1862, 1995, 2205, 2394, 2793, 3990, 4410, 4655, 5586, 5985, 8379, 9310, 11970, 13965, 16758, 27930, 41895, 83790.

What is 83790 in binary?

10100011101001110 (hexadecimal 1474E, octal 243516).

What is the square root of 83790?

About 289.4650, exactly 21√190.

Is 83790 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 83790?

83790 is a happy number: repeatedly adding the squares of its digits reaches 1.