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The number 42553

42553 is a composite number with 4 divisors. Its prime factorisation is 7 × 6079. Divisors (4): 1, 7, 6079, 42553.

Number

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How to work it out

  1. 1

    What is special about 42553: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6079, the product of two primes.

  2. 2

    42553 is composite. Its prime factorisation is

    42553=7×607942553 = 7 \times 6079
  3. 3

    The divisors add up to 48640; without 42553 itself that is 6087, so 42553 is deficient (6087 is less than 42553). Euler's totient φ(42553) = 36468 numbers up to 42553 share no factor with it.

  4. 4

    The digits of 42553 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42553 = 7 \times 6079 \]

42553 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48640
Euler totient φ(n)36468
Square1810757809
Cube77053177046377
Square root206.283785
Digit sum / digital root19 / 1
Collatz steps to 1101
Scientific notation4.2553 × 10410^{4}

42553 in other forms

FormValue
In wordsforty-two thousand five hundred and fifty-three
Binary (base 2)1010011000111001
Octal (base 8)123071
Hexadecimal (base 16)A639
Base 32011101001
As time42553 seconds = 11 h 49 min 13 s

Is 42553 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 3)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.
7Yes (42553 ÷ 7 = 6079)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 42553 a prime number?

No. 42553 = 7 × 6079, so it is divisible by 7.

What are the factors of 42553?

1, 7, 6079, 42553.

What is 42553 in binary?

1010011000111001 (hexadecimal A639, octal 123071).

What is the square root of 42553?

About 206.2838.

Is 42553 divisible by 3?

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

What is special about the number 42553?

42553 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6079, the product of two primes.

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    42553: is it prime? Factors, square root, binary, Roman numeral | WordGPT