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The number 70672

70672 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 7 × 631. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 631, 1262, 2524, 4417, 5048, 8834 … 70672.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    70672 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

    70672 is composite. Its prime factorisation is

    70672=24×7×63170672 = 2^{4} \times 7 \times 631
  3. 3

    The divisors add up to 156736; without 70672 itself that is 86064, so 70672 is abundant (86064 is more than 70672). Euler's totient φ(70672) = 30240 numbers up to 70672 share no factor with it.

  4. 4

    The digits of 70672 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70672 = 2^{4} \times 7 \times 631 \]

70672 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors156736
Euler totient φ(n)30240
Square4994531584
Cube352973536104448
Square root265.842058 (= 4√4417)
Digit sum / digital root22 / 4
Collatz steps to 199
Scientific notation7.0672 × 10410^{4}

70672 in other forms

FormValue
In wordsseventy thousand six hundred and seventy-two
Binary (base 2)10001010000010000
Octal (base 8)212020
Hexadecimal (base 16)11410
Base 310120221111
As time70672 seconds = 19 h 37 min 52 s

Is 70672 divisible by 2 to 12?

DivisorAnswerRule
2Yes (70672 ÷ 2 = 35336)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (70672 ÷ 4 = 17668)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (70672 ÷ 7 = 10096)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (70672 ÷ 8 = 8834)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70672 a prime number?

No. 70672 = 242^{4} × 7 × 631, so it is divisible by 2.

What are the factors of 70672?

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 631, 1262, 2524, 4417, 5048, 8834, 10096, 17668, 35336, 70672.

What is 70672 in binary?

10001010000010000 (hexadecimal 11410, octal 212020).

What is the square root of 70672?

About 265.8421, exactly 4√4417.

Is 70672 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 70672?

It is a composite number with 20 divisors.

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