6,027,021

3³ × 7 × 11 × 13 × 223

Starting at 6,027,021, the Collatz iteration reaches 1 after 152 steps. The first transition is 18081064; the starting value is odd with 64 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 13 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,042,240

Proper Divisor Sum 6,015,219

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6027019 ← → #6027023

Radix Representation

Decimal	6027021
Binary	10110111111011100001101 (23 bits)
Octal	0o26773415
Hexadecimal	0x5BF70D

Divisor Catalog (60 of 64)

1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 223 231 273 297 351 429 669 693 819 1,001 1,287 1,561 2,007 2,079 2,453 2,457 2,899 3,003 3,861 4,683 6,021 7,359 8,697 9,009 14,049 17,171 20,293 22,077 26,091 27,027 31,889 42,147 51,513 60,879 66,231 78,273 95,667 154,539 182,637 223,223 287,001 463,617 547,911

Collatz Trajectory (152 steps to reach 1)

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

6,027,021 18,081,064 9,040,532 4,520,266 2,260,133 6,780,400 3,390,200 1,695,100 847,550 423,775 1,271,326 635,663 1,906,990 953,495 2,860,486 1,430,243 4,290,730 2,145,365 6,436,096 3,218,048 1,609,024 804,512 402,256 201,128 100,564 50,282 25,141 75,424 37,712 18,856 9,428 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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