843,409

7 × 71 × 1697

843,409 factors as 7 × 71 × 1697. Its 8 positive divisors give a proper-divisor sum of 134,639, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 7 × 71 × 1697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 978,048

Proper Divisor Sum 134,639

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #843397 ← → #843443

Radix Representation

Decimal	843409
Binary	11001101111010010001 (20 bits)
Octal	0o3157221
Hexadecimal	0xCDE91

Divisor Catalog (8)

1 7 71 497 1,697 11,879 120,487 843,409

Collatz Trajectory (105 steps to reach 1)

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

843,409 2,530,228 1,265,114 632,557 1,897,672 948,836 474,418 237,209 711,628 355,814 177,907 533,722 266,861 800,584 400,292 200,146 100,073 300,220 150,110 75,055 225,166 112,583 337,750 168,875 506,626 253,313 759,940 379,970 189,985 569,956 284,978 142,489 427,468 213,734 106,867 320,602 160,301 480,904 240,452 120,226 60,113 180,340 90,170 45,085 135,256 67,628 33,814 16,907 50,722 25,361 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350

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