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The number 70011

70011 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 2593. Divisors (8): 1, 3, 9, 27, 2593, 7779, 23337, 70011.

Number

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How to work it out

  1. 1

    What is special about 70011: a Harshad number: divisible by its digit sum 9.

  2. 2

    70011 is composite. Its prime factorisation is

    70011=33×259370011 = 3^{3} \times 2593
  3. 3

    The divisors add up to 103760; without 70011 itself that is 33749, so 70011 is deficient (33749 is less than 70011). Euler's totient φ(70011) = 46656 numbers up to 70011 share no factor with it.

  4. 4

    The digits of 70011 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70011 = 3^{3} \times 2593 \]

70011 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors103760
Euler totient φ(n)46656
Square4901540121
Cube343161725411331
Square root264.595918 (= 3√7779)
Digit sum / digital root9 / 9
Collatz steps to 1205
Scientific notation7.0011 × 10410^{4}

70011 in other forms

FormValue
In wordsseventy thousand and eleven
Binary (base 2)10001000101111011
Octal (base 8)210573
Hexadecimal (base 16)1117B
Base 310120001000
As time70011 seconds = 19 h 26 min 51 s

Is 70011 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 (70011 ÷ 3 = 23337)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 4)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (70011 ÷ 9 = 7779)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70011 a prime number?

No. 70011 = 333^{3} × 2593, so it is divisible by 3.

What are the factors of 70011?

1, 3, 9, 27, 2593, 7779, 23337, 70011.

What is 70011 in binary?

10001000101111011 (hexadecimal 1117B, octal 210573).

What is the square root of 70011?

About 264.5959, exactly 3√7779.

Is 70011 divisible by 3?

Yes. Its digits add up to 9, a multiple of 3.

What is special about the number 70011?

70011 is a Harshad number: divisible by its digit sum 9.

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    70011: is it prime? Factors, square root, binary, Roman numeral | WordGPT