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The number 70329

70329 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 197. Divisors (16): 1, 3, 7, 17, 21, 51, 119, 197, 357, 591, 1379, 3349, 4137, 10047, 23443, 70329.

Number

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How to work it out

  1. 1

    What is special about 70329: a Harshad number: divisible by its digit sum 21.

  2. 2

    70329 is composite. Its prime factorisation is

    70329=3×7×17×19770329 = 3 \times 7 \times 17 \times 197
  3. 3

    The divisors add up to 114048; without 70329 itself that is 43719, so 70329 is deficient (43719 is less than 70329). Euler's totient φ(70329) = 37632 numbers up to 70329 share no factor with it.

  4. 4

    The digits of 70329 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70329 = 3 \times 7 \times 17 \times 197 \]

70329 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors114048
Euler totient φ(n)37632
Square4946168241
Cube347859066221289
Square root265.196154
Digit sum / digital root21 / 3
Collatz steps to 1130
Scientific notation7.0329 × 10410^{4}

70329 in other forms

FormValue
In wordsseventy thousand three hundred and twenty-nine
Binary (base 2)10001001010111001
Octal (base 8)211271
Hexadecimal (base 16)112B9
Base 310120110210
As time70329 seconds = 19 h 32 min 9 s

Is 70329 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 (70329 ÷ 3 = 23443)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.
7Yes (70329 ÷ 7 = 10047)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.
9No (remainder 3)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 6)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 70329 a prime number?

No. 70329 = 3 × 7 × 17 × 197, so it is divisible by 3.

What are the factors of 70329?

1, 3, 7, 17, 21, 51, 119, 197, 357, 591, 1379, 3349, 4137, 10047, 23443, 70329.

What is 70329 in binary?

10001001010111001 (hexadecimal 112B9, octal 211271).

What is the square root of 70329?

About 265.1962.

Is 70329 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 70329?

70329 is a Harshad number: divisible by its digit sum 21.

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    70329: is it prime? Factors, square root, binary, Roman numeral | WordGPT