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The number 69988

69988 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 17497. Divisors (6): 1, 2, 4, 17497, 34994, 69988.

Number

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How to work it out

  1. 1

    What is special about 69988: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    69988 is composite. Its prime factorisation is

    69988=22×1749769988 = 2^{2} \times 17497
  3. 3

    The divisors add up to 122486; without 69988 itself that is 52498, so 69988 is deficient (52498 is less than 69988). Euler's totient φ(69988) = 34992 numbers up to 69988 share no factor with it.

  4. 4

    The digits of 69988 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69988 = 2^{2} \times 17497 \]

69988 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors122486
Euler totient φ(n)34992
Square4898320144
Cube342823630238272
Square root264.552452 (= 2√17497)
Digit sum / digital root40 / 4
Collatz steps to 181
Scientific notation6.9988 × 10410^{4}

69988 in other forms

FormValue
In wordssixty-nine thousand nine hundred and eighty-eight
Binary (base 2)10001000101100100
Octal (base 8)210544
Hexadecimal (base 16)11164
Base 310120000011
As time69988 seconds = 19 h 26 min 28 s

Is 69988 divisible by 2 to 12?

DivisorAnswerRule
2Yes (69988 ÷ 2 = 34994)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 (69988 ÷ 4 = 17497)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 2)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 4)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 8)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69988 a prime number?

No. 69988 = 222^{2} × 17497, so it is divisible by 2.

What are the factors of 69988?

1, 2, 4, 17497, 34994, 69988.

What is 69988 in binary?

10001000101100100 (hexadecimal 11164, octal 210544).

What is the square root of 69988?

About 264.5525, exactly 2√17497.

Is 69988 divisible by 3?

No. Its digits add up to 40, which is not a multiple of 3.

What is special about the number 69988?

69988 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    69988: is it prime? Factors, square root, binary, Roman numeral | WordGPT