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The number 52467

52467 is a composite number with 4 divisors. Its prime factorisation is 3 × 17489. Divisors (4): 1, 3, 17489, 52467.

Number

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How to work it out

  1. 1

    What is special about 52467: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 17489, the product of two primes.

  2. 2

    52467 is composite. Its prime factorisation is

    52467=3×1748952467 = 3 \times 17489
  3. 3

    The divisors add up to 69960; without 52467 itself that is 17493, so 52467 is deficient (17493 is less than 52467). Euler's totient φ(52467) = 34976 numbers up to 52467 share no factor with it.

  4. 4

    The digits of 52467 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52467 = 3 \times 17489 \]

52467 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors69960
Euler totient φ(n)34976
Square2752786089
Cube144430427731563
Square root229.056762
Digit sum / digital root24 / 6
Collatz steps to 152
Scientific notation5.2467 × 10410^{4}

52467 in other forms

FormValue
In wordsfifty-two thousand four hundred and sixty-seven
Binary (base 2)1100110011110011
Octal (base 8)146363
Hexadecimal (base 16)CCF3
Base 32122222020
As time52467 seconds = 14 h 34 min 27 s

Is 52467 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 (52467 ÷ 3 = 17489)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 2)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 2)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 3)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 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52467 a prime number?

No. 52467 = 3 × 17489, so it is divisible by 3.

What are the factors of 52467?

1, 3, 17489, 52467.

What is 52467 in binary?

1100110011110011 (hexadecimal CCF3, octal 146363).

What is the square root of 52467?

About 229.0568.

Is 52467 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 52467?

52467 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 17489, the product of two primes.

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