6,090,812

2² × 7 × 13 × 29 × 577

Starting at 6,090,812, the Collatz iteration reaches 1 after 165 steps. The first transition is 3045406; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 29 × 577

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,594,560

Proper Divisor Sum 7,503,748

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6090809 ← → #6090823

Radix Representation

Decimal	6090812
Binary	10111001111000000111100 (23 bits)
Octal	0o27170074
Hexadecimal	0x5CF03C

Divisor Catalog (48)

1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 577 754 812 1,154 1,508 2,308 2,639 4,039 5,278 7,501 8,078 10,556 15,002 16,156 16,733 30,004 33,466 52,507 66,932 105,014 117,131 210,028 217,529 234,262 435,058 468,524 870,116 1,522,703 3,045,406 6,090,812

Collatz Trajectory (165 steps to reach 1)

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

6,090,812 3,045,406 1,522,703 4,568,110 2,284,055 6,852,166 3,426,083 10,278,250 5,139,125 15,417,376 7,708,688 3,854,344 1,927,172 963,586 481,793 1,445,380 722,690 361,345 1,084,036 542,018 271,009 813,028 406,514 203,257 609,772 304,886 152,443 457,330 228,665 685,996 342,998 171,499 514,498 257,249 771,748 385,874 192,937 578,812 289,406 144,703 434,110 217,055 651,166 325,583 976,750 488,375 1,465,126 732,563 2,197,690 1,098,845 3,296,536 1,648,268 824,134 412,067 1,236,202 618,101 1,854,304 927,152 463,576 231,788

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