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The number 74989

74989 is a composite number with 8 divisors. Its prime factorisation is 31 × 41 × 59. Divisors (8): 1, 31, 41, 59, 1271, 1829, 2419, 74989.

Number

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How to work it out

  1. 1

    What is special about 74989: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74989 is composite. Its prime factorisation is

    74989=31×41×5974989 = 31 \times 41 \times 59
  3. 3

    The divisors add up to 80640; without 74989 itself that is 5651, so 74989 is deficient (5651 is less than 74989). Euler's totient φ(74989) = 69600 numbers up to 74989 share no factor with it.

  4. 4

    The digits of 74989 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74989 = 31 \times 41 \times 59 \]

74989 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors80640
Euler totient φ(n)69600
Square5623350121
Cube421689402223669
Square root273.841195
Digit sum / digital root37 / 1
Collatz steps to 1156
Scientific notation7.4989 × 10410^{4}

74989 in other forms

FormValue
In wordsseventy-four thousand nine hundred and eighty-nine
Binary (base 2)10010010011101101
Octal (base 8)222355
Hexadecimal (base 16)124ED
Base 310210212101
As time74989 seconds = 20 h 49 min 49 s

Is 74989 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).
3No (remainder 1)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 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74989 a prime number?

No. 74989 = 31 × 41 × 59, so it is divisible by 31.

What are the factors of 74989?

1, 31, 41, 59, 1271, 1829, 2419, 74989.

What is 74989 in binary?

10010010011101101 (hexadecimal 124ED, octal 222355).

What is the square root of 74989?

About 273.8412.

Is 74989 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 74989?

74989 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74989: is it prime? Factors, square root, binary, Roman numeral | WordGPT