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The number 70929

70929 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 37 × 71. Divisors (16): 1, 3, 9, 27, 37, 71, 111, 213, 333, 639, 999, 1917, 2627, 7881, 23643, 70929.

Number

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How to work it out

  1. 1

    What is special about 70929: a Harshad number: divisible by its digit sum 27.

  2. 2

    70929 is composite. Its prime factorisation is

    70929=33×37×7170929 = 3^{3} \times 37 \times 71
  3. 3

    The divisors add up to 109440; without 70929 itself that is 38511, so 70929 is deficient (38511 is less than 70929). Euler's totient φ(70929) = 45360 numbers up to 70929 share no factor with it.

  4. 4

    The digits of 70929 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 174 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70929 = 3^{3} \times 37 \times 71 \]

70929 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors109440
Euler totient φ(n)45360
Square5030923041
Cube356838340375089
Square root266.324989 (= 3√7881)
Digit sum / digital root27 / 9
Collatz steps to 1174
Scientific notation7.0929 × 10410^{4}

70929 in other forms

FormValue
In wordsseventy thousand nine hundred and twenty-nine
Binary (base 2)10001010100010001
Octal (base 8)212421
Hexadecimal (base 16)11511
Base 310121022000
As time70929 seconds = 19 h 42 min 9 s

Is 70929 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 (70929 ÷ 3 = 23643)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 4)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 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (70929 ÷ 9 = 7881)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 70929 a prime number?

No. 70929 = 333^{3} × 37 × 71, so it is divisible by 3.

What are the factors of 70929?

1, 3, 9, 27, 37, 71, 111, 213, 333, 639, 999, 1917, 2627, 7881, 23643, 70929.

What is 70929 in binary?

10001010100010001 (hexadecimal 11511, octal 212421).

What is the square root of 70929?

About 266.3250, exactly 3√7881.

Is 70929 divisible by 3?

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

What is special about the number 70929?

70929 is a Harshad number: divisible by its digit sum 27.

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