444,732

2² × 3 × 37061

444,732 factors as 2^2 × 3 × 37061. Its 12 positive divisors give a proper-divisor sum of 593,004, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37061

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,037,736

Proper Divisor Sum 593,004

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #444713 ← → #444739

Radix Representation

Decimal	444732
Binary	1101100100100111100 (19 bits)
Octal	0o1544474
Hexadecimal	0x6C93C

Divisor Catalog (12)

1 2 3 4 6 12 37,061 74,122 111,183 148,244 222,366 444,732

Collatz Trajectory (99 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

444,732 222,366 111,183 333,550 166,775 500,326 250,163 750,490 375,245 1,125,736 562,868 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573

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