3,879,505

5 × 7 × 199 × 557

Starting at 3,879,505, the Collatz iteration reaches 1 after 216 steps. The first transition is 11638516; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 199 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,356,800

Proper Divisor Sum 1,477,295

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3879437 ← → #3879509

Radix Representation

Decimal	3879505
Binary	1110110011001001010001 (22 bits)
Octal	0o16631121
Hexadecimal	0x3B3251

Divisor Catalog (16)

1 5 7 35 199 557 995 1,393 2,785 3,899 6,965 19,495 110,843 554,215 775,901 3,879,505

Collatz Trajectory (216 steps to reach 1)

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

3,879,505 11,638,516 5,819,258 2,909,629 8,728,888 4,364,444 2,182,222 1,091,111 3,273,334 1,636,667 4,910,002 2,455,001 7,365,004 3,682,502 1,841,251 5,523,754 2,761,877 8,285,632 4,142,816 2,071,408 1,035,704 517,852 258,926 129,463 388,390 194,195 582,586 291,293 873,880 436,940 218,470 109,235 327,706 163,853 491,560 245,780 122,890 61,445 184,336 92,168 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103

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