2,005,349

47 × 42667

2,005,349 factors as 47 × 42667. Its 4 positive divisors give a proper-divisor sum of 42,715, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 47 × 42667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,048,064

Proper Divisor Sum 42,715

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2005343 ← → #2005369

Radix Representation

Decimal	2005349
Binary	111101001100101100101 (21 bits)
Octal	0o7514545
Hexadecimal	0x1E9965

Divisor Catalog (4)

1 47 42,667 2,005,349

Collatz Trajectory (65 steps to reach 1)

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

2,005,349 6,016,048 3,008,024 1,504,012 752,006 376,003 1,128,010 564,005 1,692,016 846,008 423,004 211,502 105,751 317,254 158,627 475,882 237,941 713,824 356,912 178,456 89,228 44,614 22,307 66,922 33,461 100,384 50,192 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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