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The number 69880

69880 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 5 × 1747. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1747, 3494, 6988, 8735, 13976, 17470, 34940, 69880.

Number

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How to work it out

  1. 1

    69880 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

    69880 is composite. Its prime factorisation is

    69880=23×5×174769880 = 2^{3} \times 5 \times 1747
  3. 3

    The divisors add up to 157320; without 69880 itself that is 87440, so 69880 is abundant (87440 is more than 69880). Euler's totient φ(69880) = 27936 numbers up to 69880 share no factor with it.

  4. 4

    The digits of 69880 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69880 = 2^{3} \times 5 \times 1747 \]

69880 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors157320
Euler totient φ(n)27936
Square4883214400
Cube341239022272000
Square root264.348255 (= 2√17470)
Digit sum / digital root31 / 4
Collatz steps to 1143
Scientific notation6.988 × 10410^{4}

69880 in other forms

FormValue
In wordssixty-nine thousand eight hundred and eighty
Binary (base 2)10001000011111000
Octal (base 8)210370
Hexadecimal (base 16)110F8
Base 310112212011
As time69880 seconds = 19 h 24 min 40 s

Is 69880 divisible by 2 to 12?

DivisorAnswerRule
2Yes (69880 ÷ 2 = 34940)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 (69880 ÷ 4 = 17470)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (69880 ÷ 5 = 13976)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.
7No (remainder 6)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 (69880 ÷ 8 = 8735)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.
10Yes (69880 ÷ 10 = 6988)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 69880 a prime number?

No. 69880 = 232^{3} × 5 × 1747, so it is divisible by 2.

What are the factors of 69880?

1, 2, 4, 5, 8, 10, 20, 40, 1747, 3494, 6988, 8735, 13976, 17470, 34940, 69880.

What is 69880 in binary?

10001000011111000 (hexadecimal 110F8, octal 210370).

What is the square root of 69880?

About 264.3483, exactly 2√17470.

Is 69880 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 69880?

It is a composite number with 16 divisors.

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