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The number 51429

51429 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 79. Divisors (16): 1, 3, 7, 21, 31, 79, 93, 217, 237, 553, 651, 1659, 2449, 7347, 17143, 51429.

Number

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How to work it out

  1. 1

    What is special about 51429: a Harshad number: divisible by its digit sum 21.

  2. 2

    51429 is composite. Its prime factorisation is

    51429=3×7×31×7951429 = 3 \times 7 \times 31 \times 79
  3. 3

    The divisors add up to 81920; without 51429 itself that is 30491, so 51429 is deficient (30491 is less than 51429). Euler's totient φ(51429) = 28080 numbers up to 51429 share no factor with it.

  4. 4

    The digits of 51429 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51429 = 3 \times 7 \times 31 \times 79 \]

51429 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors81920
Euler totient φ(n)28080
Square2644942041
Cube136026724226589
Square root226.779629
Digit sum / digital root21 / 3
Collatz steps to 1171
Scientific notation5.1429 × 10410^{4}

51429 in other forms

FormValue
In wordsfifty-one thousand four hundred and twenty-nine
Binary (base 2)1100100011100101
Octal (base 8)144345
Hexadecimal (base 16)C8E5
Base 32121112210
As time51429 seconds = 14 h 17 min 9 s

Is 51429 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 (51429 ÷ 3 = 17143)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (51429 ÷ 7 = 7347)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 3)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 51429 a prime number?

No. 51429 = 3 × 7 × 31 × 79, so it is divisible by 3.

What are the factors of 51429?

1, 3, 7, 21, 31, 79, 93, 217, 237, 553, 651, 1659, 2449, 7347, 17143, 51429.

What is 51429 in binary?

1100100011100101 (hexadecimal C8E5, octal 144345).

What is the square root of 51429?

About 226.7796.

Is 51429 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 51429?

51429 is a Harshad number: divisible by its digit sum 21.

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    51429: is it prime? Factors, square root, binary, Roman numeral | WordGPT