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The number 70821

70821 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 43 × 61. Divisors (16): 1, 3, 9, 27, 43, 61, 129, 183, 387, 549, 1161, 1647, 2623, 7869, 23607, 70821.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    70821 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    70821 is composite. Its prime factorisation is

    70821=33×43×6170821 = 3^{3} \times 43 \times 61
  3. 3

    The divisors add up to 109120; without 70821 itself that is 38299, so 70821 is deficient (38299 is less than 70821). Euler's totient φ(70821) = 45360 numbers up to 70821 share no factor with it.

  4. 4

    The digits of 70821 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70821 = 3^{3} \times 43 \times 61 \]

70821 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors109120
Euler totient φ(n)45360
Square5015614041
Cube355210801997661
Square root266.122152 (= 3√7869)
Digit sum / digital root18 / 9
Collatz steps to 181
Scientific notation7.0821 × 10410^{4}

70821 in other forms

FormValue
In wordsseventy thousand eight hundred and twenty-one
Binary (base 2)10001010010100101
Octal (base 8)212245
Hexadecimal (base 16)114A5
Base 310121011000
As time70821 seconds = 19 h 40 min 21 s

Is 70821 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (70821 ÷ 3 = 23607)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (70821 ÷ 9 = 7869)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70821 a prime number?

No. 70821 = 333^{3} × 43 × 61, so it is divisible by 3.

What are the factors of 70821?

1, 3, 9, 27, 43, 61, 129, 183, 387, 549, 1161, 1647, 2623, 7869, 23607, 70821.

What is 70821 in binary?

10001010010100101 (hexadecimal 114A5, octal 212245).

What is the square root of 70821?

About 266.1222, exactly 3√7869.

Is 70821 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 70821?

It is a composite number with 16 divisors.

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    70821: is it prime? Factors, square root, binary, Roman numeral | WordGPT