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The number 60409

60409 is a composite number with 4 divisors. Its prime factorisation is 193 × 313. Divisors (4): 1, 193, 313, 60409.

Number

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How to work it out

  1. 1

    What is special about 60409: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 193 × 313, the product of two primes.

  2. 2

    60409 is composite. Its prime factorisation is

    60409=193×31360409 = 193 \times 313
  3. 3

    The divisors add up to 60916; without 60409 itself that is 507, so 60409 is deficient (507 is less than 60409). Euler's totient φ(60409) = 59904 numbers up to 60409 share no factor with it.

  4. 4

    The digits of 60409 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60409 = 193 \times 313 \]

60409 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors60916
Euler totient φ(n)59904
Square3649247281
Cube220447378997929
Square root245.782424
Digit sum / digital root19 / 1
Collatz steps to 1179
Scientific notation6.0409 × 10410^{4}

60409 in other forms

FormValue
In wordssixty thousand four hundred and nine
Binary (base 2)1110101111111001
Octal (base 8)165771
Hexadecimal (base 16)EBF9
Base 310001212101
As time60409 seconds = 16 h 46 min 49 s

Is 60409 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 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.
8No (remainder 1)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 8)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 60409 a prime number?

No. 60409 = 193 × 313, so it is divisible by 193.

What are the factors of 60409?

1, 193, 313, 60409.

What is 60409 in binary?

1110101111111001 (hexadecimal EBF9, octal 165771).

What is the square root of 60409?

About 245.7824.

Is 60409 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 60409?

60409 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 193 × 313, the product of two primes.

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    60409: is it prime? Factors, square root, binary, Roman numeral | WordGPT