6,073,221

3 × 7 × 11 × 61 × 431

Starting at 6,073,221, the Collatz iteration reaches 1 after 134 steps. The first transition is 18219664; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 61 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,285,056

Proper Divisor Sum 4,211,835

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6073211 ← → #6073237

Radix Representation

Decimal	6073221
Binary	10111001010101110000101 (23 bits)
Octal	0o27125605
Hexadecimal	0x5CAB85

Divisor Catalog (32)

1 3 7 11 21 33 61 77 183 231 427 431 671 1,281 1,293 2,013 3,017 4,697 4,741 9,051 14,091 14,223 26,291 33,187 78,873 99,561 184,037 289,201 552,111 867,603 2,024,407 6,073,221

Collatz Trajectory (134 steps to reach 1)

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

6,073,221 18,219,664 9,109,832 4,554,916 2,277,458 1,138,729 3,416,188 1,708,094 854,047 2,562,142 1,281,071 3,843,214 1,921,607 5,764,822 2,882,411 8,647,234 4,323,617 12,970,852 6,485,426 3,242,713 9,728,140 4,864,070 2,432,035 7,296,106 3,648,053 10,944,160 5,472,080 2,736,040 1,368,020 684,010 342,005 1,026,016 513,008 256,504 128,252 64,126 32,063 96,190 48,095 144,286 72,143 216,430 108,215 324,646 162,323 486,970 243,485 730,456 365,228 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124

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