443,967

3 × 83 × 1783

443,967 factors as 3 × 83 × 1783. Its 8 positive divisors give a proper-divisor sum of 155,457, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 3 × 83 × 1783

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 599,424

Proper Divisor Sum 155,457

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #443953 ← → #443983

Radix Representation

Decimal	443967
Binary	1101100011000111111 (19 bits)
Octal	0o1543077
Hexadecimal	0x6C63F

Divisor Catalog (8)

1 3 83 249 1,783 5,349 147,989 443,967

Collatz Trajectory (81 steps to reach 1)

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

443,967 1,331,902 665,951 1,997,854 998,927 2,996,782 1,498,391 4,495,174 2,247,587 6,742,762 3,371,381 10,114,144 5,057,072 2,528,536 1,264,268 632,134 316,067 948,202 474,101 1,422,304 711,152 355,576 177,788 88,894 44,447 133,342 66,671 200,014 100,007 300,022 150,011 450,034 225,017 675,052 337,526 168,763 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074 30,037 90,112 45,056 22,528 11,264 5,632 2,816

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