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The number 61431

61431 is a binary palindrome (1110111111110111). Its prime factorisation is 3 × 20477. Divisors (4): 1, 3, 20477, 61431.

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How to work it out

  1. 1

    What is special about 61431: a binary palindrome (1110111111110111); a semiprime: 3 × 20477, the product of two primes.

  2. 2

    61431 is composite. Its prime factorisation is

    61431=3×2047761431 = 3 \times 20477
  3. 3

    The divisors add up to 81912; without 61431 itself that is 20481, so 61431 is deficient (20481 is less than 61431). Euler's totient φ(61431) = 40952 numbers up to 61431 share no factor with it.

  4. 4

    The digits of 61431 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 254 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61431 = 3 \times 20477 \]

61431 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors81912
Euler totient φ(n)40952
Square3773767761
Cube231826327325991
Square root247.852779
Digit sum / digital root15 / 6
Collatz steps to 1254
Scientific notation6.1431 × 10410^{4}

61431 in other forms

FormValue
In wordssixty-one thousand four hundred and thirty-one
Binary (base 2)1110111111110111
Octal (base 8)167767
Hexadecimal (base 16)EFF7
Base 310010021020
As time61431 seconds = 17 h 3 min 51 s

Is 61431 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).
3Yes (61431 ÷ 3 = 20477)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61431 a prime number?

No. 61431 = 3 × 20477, so it is divisible by 3.

What are the factors of 61431?

1, 3, 20477, 61431.

What is 61431 in binary?

1110111111110111 (hexadecimal EFF7, octal 167767).

What is the square root of 61431?

About 247.8528.

Is 61431 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 61431?

61431 is a binary palindrome (1110111111110111); a semiprime: 3 × 20477, the product of two primes.

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